QUESTION 11. Select the correct description of right-hand and le.docx
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QUESTION 1 1. Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. Rises to the left, falls to the right Rises to the right, rises to the left Falls to the left, rises to the right Falls to the right Falls to the left, falls to the right 4 points QUESTION 2 1. Select the correct description of right-hand and left-hand behavior of the graph of the polynomial funciton. f(x) = 4x2 - 5x + 4 Falls to the left, rises to the right Falls to the left, falls to the right Rises to the left, rises to the right Rises to the left, falls to the right Falls to the left 4 points QUESTION 3 1. Find all the real zeroes of the polynomial function. f(x) = x2 - 25 -25 5 -5 25 ±5 4 points QUESTION 4 1. Use synthetic division to divide. (4x3 + x2 - 11x + 6) ÷ (x + 2) 4x2 - 5x - 6 4x2 - 7x + 3 4x2 - 2x - 2 4x2 + 5x - 12 4x2 + 7x - 4 4 points QUESTION 5 1. Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method. h(x) = x3 - 6x2 - 5x + 7 h(-8) -849 -847 -851 -848 -845 4 points QUESTION 6 1. Find all the rational zeroes of the function. x3 - 12x2 + 41x - 42 -2, -3, -7 2, 3, 7 2, -3, 7 -2, 3, 7 -2, 3, -7 4 points QUESTION 7 1. The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p) = -25p2 + 1700p where p is the price per unit (in dollars). Find the unit price that will yield a maximum revenue. $38 $35 $36 $37 $34 4 points QUESTION 8 1. Find the domain of the function Domain: all real numbers x except x = 7 Domain: all real numbers x except x = ±49 Domain: all real numbers x except x = ±8 Domain: all real numbers x except x = -7 Domain: all real numbers x except x = ±7 4 points QUESTION 9 1. Find the domain of the function and identify any vertical and horizontal asymptotes. Domain: all real numbers x Vertical asymptote: x = 0 Horizontal asymptote: y = 0 Domain: all real numbers x except x = 2 Vertical asymptote: x = 0 Horizontal asymptote: y = 0 Domain: all real numbers x except x = 5 Vertical asymptote: x = 0 Horizontal asymptote: y = 2 Domain: all real numbers x Vertical asymptote: x = 0 Horizontal asymptote: y = 2 Domain: all real numbers x except x = 5 Vertical asymptote: x = 5 Horizontal asymptote: y = 0 4 points QUESTION 10 1. Simplify f and find any vertical asymptotes of f. x+3; vertical asymptote: x = -3 x; vertical asymptote: none x; vertical asymptote: x = -3 x-3; vertical asymptote: none x2; vertical asymptote: none 4 points QUESTION 11 1. Determine the equations of any horizontal and vertical asymptotes of horizontal: y = 5; vertical: x = 0 horizontal: y = 1; vertical: x = -5 horizontal: y = 1; vertical: x = 1 and x = -5 horizontal: y = -1; vertical: x = -5 horizontal: y = 0; vertical: none 4 points QUESTION 12 1. Identify all intercepts of ...
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QUESTION 1Select the correct description of right-hand and lef.docx
QUESTION 1
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
Rises to the left, falls to the right
Rises to the right, rises to the left
Falls to the left, rises to the right
Falls to the right
Falls to the left, falls to the right
4 points Save Answer
QUESTION 2
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial funciton.
f(x) = 4x2 - 5x + 4
Falls to the left, rises to the right
Falls to the left, falls to the right
Rises to the left, rises to the right
Rises to the left, falls to the right
Falls to the left
4 points Save Answer
QUESTION 3
Find all the real zeroes of the polynomial function.
f(x) = x2 - 25
-25
5
-5
25
±5
4 points Save Answer
QUESTION 4
Use synthetic division to divide.
(4x3 + x2 - 11x + 6) ÷ (x + 2)
4x2 - 5x - 6
4x2 - 7x + 3
4x2 - 2x - 2
4x2 + 5x - 12
4x2 + 7x - 4
4 points Save Answer
QUESTION 5
Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.
h(x) = x3 - 6x2 - 5x + 7
h(-8)
-849
-847
-851
-848
-845
4 points Save Answer
QUESTION 6
Find all the rational zeroes of the function.
x3 - 12x2 + 41x - 42
-2, -3, -7
2, 3, 7
2, -3, 7
-2, 3, 7
-2, 3, -7
4 points Save Answer
QUESTION 7
The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by
R(p) = -25p2 + 1700p
where p is the price per unit (in dollars).
Find the unit price that will yield a maximum revenue.
$38
$35
$36
$37
$34
4 points Save Answer
QUESTION 8
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
4 points Save Answer
QUESTION 9
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x
Vertical asymptote: x = 0
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 5
Vertical asymptote: x = 0
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = 0
Horizontal asymptote: y = 2
Domain: all real numbers x except x = 5
Vertical asymptote: x = 5
Horizontal asymptote: y = 0
4 points Save Answer
QUESTION 10
Simplify f and find any vertical asymptotes of f.
x+3; vertical asymptote: x = -3
x; vertical asymptote: none
x; vertical asymptote: x = -3
x-3; vertical asymptote: none
x2; vertical asymptote: none
4 points Save Answer
QUESTION 11
Determine the equations of any horizontal and vertical asymptotes of
horizontal: y = 5; vertical: x = 0
horizontal: y = 1; vertical: x = -5
horizontal: y = 1; vertical: x = 1 and x = -5
horizo ...
QUESTION 11. Find the domain of the function Domain all r.docx
QUESTION 1
1. Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
QUESTION 2
1. Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
QUESTION 3
1. Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
QUESTION 4
1. Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
QUESTION 5
1. Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
QUESTION 6
1. Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
QUESTION 7
1. Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
Domain: all real numbers x
Vertical asymptote: x = -9
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 9
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
Domain: all real numbers x except x = 9
Vertical ...
Question 1 1. Find the domain of the function .docx
Question 1
1.
Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
Question 2
1.
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
Question 3
1.
Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
Question 4
1.
Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
Question 5
1.
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
Question 6
1.
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
Question 7
1.
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = - ...
QUESTION 1Find the domain of the function Domain all real.docx
QUESTION 1
Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
QUESTION 2
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
QUESTION 3
Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
QUESTION 4
Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
QUESTION 5
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
QUESTION 6
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
QUESTION 7
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
Domain: all real numbers x
Vertical asymptote: x = -9
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 9
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
Domain: all real numbers x except x = 9
Vertical asymptote: x = 9
Hori ...
QUESTION 11. Select the graph of the quadratic function ƒ(x) = 4.docx
A semiprofessional baseball team plays two home games per month for three months. It splits concession revenue 50/50 with the city and keeps all ticket revenue. The city charges $100 per month to use the field. The team pays players and manager $1,000 per month. Tickets are $10 each and average attendance is 30 people. Average concession spending per customer is $7. The team earns $300 revenue per game and $1800 total for the season. With total costs of $3000 for the season, the team finishes with a $1200 profit.
1.Select the correct description of right-hand and left-hand beh.docx
1.
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 4x
2
- 5x + 4
[removed]
Falls to the left, rises to the right.
[removed]
Falls to the left, falls to the right.
[removed]
Rises to the left, rises to the right.
[removed]
Rises to the left, falls to the right.
[removed]
Falls to the left.
QUESTION 2
1.
Describe the right-hand and the left-hand behavior of the graph of
t(x) = 4x
5
- 7x
3
- 13
[removed]
Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
[removed]
Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
[removed]
Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
[removed]
Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.
[removed]
Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.
QUESTION 3
1.
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 3 - 5x + 3x
2
- 5x
3
[removed]
Falls to the left, rises to the right.
[removed]
Falls to the left, falls to the right.
[removed]
Rises to the left, rises to the right.
[removed]
Rises to the left, falls to the right.
[removed]
Falls to the left.
QUESTION 4
1.
Select from the following which is the polynomial function that has the given zeroes.
2,-6
[removed]
f(x) = x
2
- 4x + 12
[removed]
f(x) = x
2
+ 4x + 12
[removed]
f(x) = -x
2
-4x - 12
[removed]
f(x) = -x
2
+ 4x - 12
[removed]
f(x) = x
2
+ 4x - 12
QUESTION 5
1.
Select from the following which is the polynomial function that has the given zeroes.
0,-2,-4
[removed]
f(x) = -x
3
+ 6x
2
+ 8x
[removed]
f(x) = x
3
- 6x
2
+ 8x
[removed]
f(x) = x
3
+ 6x
2
+ 8x
[removed]
f(x) = x
3
- 6x
2
- 8x
[removed]
f(x) = x
3
+ 6x
2
- 8x
QUESTION 6
1.
Sketch the graph of the function by finding the zeroes of the polynomial.
f(x) = 2x
3
- 10x
2
+ 12x
[removed]
0,2,3
[removed]
0,2,-3
[removed]
0,-2,3
[removed]
0,2,3
[removed]
0,-2,-3
QUESTION 7
1.
Select the graph of the function and determine the zeroes of the polynomial.
f(x) = x
2
(x-6)
[removed]
0,6,-6
[removed]
0,6
[removed]
0,-6
[removed]
0,6
[removed]
0,-6
QUESTION 8
1.
Use the Remainder Theorem and Synthetic Division to find the function value.
g(x) = 3x
6
+ 3x
4
- 3x
2
+ 6, g(0)
[removed]
6
[removed]
3
[removed]
-3
[removed]
8
[removed]
7
QUESTION 9
1.
Use the Remainder Theorem and Synthetic Division to find the function value.
f(x) = 3x
3
- 7x + 3, f(5)
[removed]
-343
[removed]
343
[removed]
345
[removed]
340
[removed]
344
QUESTION 10
1.
Use the Remainder Theorem and Synthetic Division to find the function value.
h(x) = x
3
- 4x
2
- 9x + 7, h(4)
[removed] ...
Examples of different polynomial graphs
The document discusses polynomial functions and their properties. It defines turning points as points where the graph of a function changes from increasing to decreasing. It then categorizes common polynomial functions as constant, linear, quadratic, cubic, or quartic depending on their degree. It provides examples of each type of polynomial function and notes that the maximum number of zeros is equal to the degree of the polynomial function.
QUESTION 1Find the domain of the function Domain all real.docx
QUESTION 1
Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
QUESTION 2
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
QUESTION 3
Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
QUESTION 4
Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
QUESTION 5
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
QUESTION 6
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
QUESTION 7
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
Domain: all real numbers x
Vertical asymptote: x = -9
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 9
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
Domain: all real numbers x except x = 9
Vertical asymptote: x = 9
Hori ...
Recommended
QUESTION 1Select the correct description of right-hand and lef.docx
QUESTION 1
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
Rises to the left, falls to the right
Rises to the right, rises to the left
Falls to the left, rises to the right
Falls to the right
Falls to the left, falls to the right
4 points Save Answer
QUESTION 2
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial funciton.
f(x) = 4x2 - 5x + 4
Falls to the left, rises to the right
Falls to the left, falls to the right
Rises to the left, rises to the right
Rises to the left, falls to the right
Falls to the left
4 points Save Answer
QUESTION 3
Find all the real zeroes of the polynomial function.
f(x) = x2 - 25
-25
5
-5
25
±5
4 points Save Answer
QUESTION 4
Use synthetic division to divide.
(4x3 + x2 - 11x + 6) ÷ (x + 2)
4x2 - 5x - 6
4x2 - 7x + 3
4x2 - 2x - 2
4x2 + 5x - 12
4x2 + 7x - 4
4 points Save Answer
QUESTION 5
Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method.
h(x) = x3 - 6x2 - 5x + 7
h(-8)
-849
-847
-851
-848
-845
4 points Save Answer
QUESTION 6
Find all the rational zeroes of the function.
x3 - 12x2 + 41x - 42
-2, -3, -7
2, 3, 7
2, -3, 7
-2, 3, 7
-2, 3, -7
4 points Save Answer
QUESTION 7
The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by
R(p) = -25p2 + 1700p
where p is the price per unit (in dollars).
Find the unit price that will yield a maximum revenue.
$38
$35
$36
$37
$34
4 points Save Answer
QUESTION 8
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
4 points Save Answer
QUESTION 9
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x
Vertical asymptote: x = 0
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 5
Vertical asymptote: x = 0
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = 0
Horizontal asymptote: y = 2
Domain: all real numbers x except x = 5
Vertical asymptote: x = 5
Horizontal asymptote: y = 0
4 points Save Answer
QUESTION 10
Simplify f and find any vertical asymptotes of f.
x+3; vertical asymptote: x = -3
x; vertical asymptote: none
x; vertical asymptote: x = -3
x-3; vertical asymptote: none
x2; vertical asymptote: none
4 points Save Answer
QUESTION 11
Determine the equations of any horizontal and vertical asymptotes of
horizontal: y = 5; vertical: x = 0
horizontal: y = 1; vertical: x = -5
horizontal: y = 1; vertical: x = 1 and x = -5
horizo ...
QUESTION 11. Find the domain of the function Domain all r.docx
QUESTION 1
1. Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
QUESTION 2
1. Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
QUESTION 3
1. Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
QUESTION 4
1. Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
QUESTION 5
1. Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
QUESTION 6
1. Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
QUESTION 7
1. Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
Domain: all real numbers x
Vertical asymptote: x = -9
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 9
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
Domain: all real numbers x except x = 9
Vertical ...
Question 1 1. Find the domain of the function .docx
Question 1
1.
Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
Question 2
1.
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
Question 3
1.
Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
Question 4
1.
Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
Question 5
1.
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
Question 6
1.
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
Question 7
1.
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = - ...
QUESTION 1Find the domain of the function Domain all real.docx
QUESTION 1
Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
QUESTION 2
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
QUESTION 3
Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
QUESTION 4
Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
QUESTION 5
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
QUESTION 6
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
QUESTION 7
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
Domain: all real numbers x
Vertical asymptote: x = -9
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 9
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
Domain: all real numbers x except x = 9
Vertical asymptote: x = 9
Hori ...
QUESTION 11. Select the graph of the quadratic function ƒ(x) = 4.docx
A semiprofessional baseball team plays two home games per month for three months. It splits concession revenue 50/50 with the city and keeps all ticket revenue. The city charges $100 per month to use the field. The team pays players and manager $1,000 per month. Tickets are $10 each and average attendance is 30 people. Average concession spending per customer is $7. The team earns $300 revenue per game and $1800 total for the season. With total costs of $3000 for the season, the team finishes with a $1200 profit.
1.Select the correct description of right-hand and left-hand beh.docx
1.
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 4x
2
- 5x + 4
[removed]
Falls to the left, rises to the right.
[removed]
Falls to the left, falls to the right.
[removed]
Rises to the left, rises to the right.
[removed]
Rises to the left, falls to the right.
[removed]
Falls to the left.
QUESTION 2
1.
Describe the right-hand and the left-hand behavior of the graph of
t(x) = 4x
5
- 7x
3
- 13
[removed]
Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
[removed]
Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
[removed]
Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
[removed]
Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.
[removed]
Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.
QUESTION 3
1.
Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 3 - 5x + 3x
2
- 5x
3
[removed]
Falls to the left, rises to the right.
[removed]
Falls to the left, falls to the right.
[removed]
Rises to the left, rises to the right.
[removed]
Rises to the left, falls to the right.
[removed]
Falls to the left.
QUESTION 4
1.
Select from the following which is the polynomial function that has the given zeroes.
2,-6
[removed]
f(x) = x
2
- 4x + 12
[removed]
f(x) = x
2
+ 4x + 12
[removed]
f(x) = -x
2
-4x - 12
[removed]
f(x) = -x
2
+ 4x - 12
[removed]
f(x) = x
2
+ 4x - 12
QUESTION 5
1.
Select from the following which is the polynomial function that has the given zeroes.
0,-2,-4
[removed]
f(x) = -x
3
+ 6x
2
+ 8x
[removed]
f(x) = x
3
- 6x
2
+ 8x
[removed]
f(x) = x
3
+ 6x
2
+ 8x
[removed]
f(x) = x
3
- 6x
2
- 8x
[removed]
f(x) = x
3
+ 6x
2
- 8x
QUESTION 6
1.
Sketch the graph of the function by finding the zeroes of the polynomial.
f(x) = 2x
3
- 10x
2
+ 12x
[removed]
0,2,3
[removed]
0,2,-3
[removed]
0,-2,3
[removed]
0,2,3
[removed]
0,-2,-3
QUESTION 7
1.
Select the graph of the function and determine the zeroes of the polynomial.
f(x) = x
2
(x-6)
[removed]
0,6,-6
[removed]
0,6
[removed]
0,-6
[removed]
0,6
[removed]
0,-6
QUESTION 8
1.
Use the Remainder Theorem and Synthetic Division to find the function value.
g(x) = 3x
6
+ 3x
4
- 3x
2
+ 6, g(0)
[removed]
6
[removed]
3
[removed]
-3
[removed]
8
[removed]
7
QUESTION 9
1.
Use the Remainder Theorem and Synthetic Division to find the function value.
f(x) = 3x
3
- 7x + 3, f(5)
[removed]
-343
[removed]
343
[removed]
345
[removed]
340
[removed]
344
QUESTION 10
1.
Use the Remainder Theorem and Synthetic Division to find the function value.
h(x) = x
3
- 4x
2
- 9x + 7, h(4)
[removed] ...
Examples of different polynomial graphs
The document discusses polynomial functions and their properties. It defines turning points as points where the graph of a function changes from increasing to decreasing. It then categorizes common polynomial functions as constant, linear, quadratic, cubic, or quartic depending on their degree. It provides examples of each type of polynomial function and notes that the maximum number of zeros is equal to the degree of the polynomial function.
QUESTION 1Find the domain of the function Domain all real.docx
QUESTION 1
Find the domain of the function
Domain: all real numbers x except x=6
Domain: all real numbers x except x=8
Domain: all real numbers x except x = -8
Domain: all real numbers x
Domain: all real numbers x except x = -6
5 points
QUESTION 2
Find the domain of the function
Domain: all real numbers x except x = 7
Domain: all real numbers x except x = ±49
Domain: all real numbers x except x = ±8
Domain: all real numbers x except x = -7
Domain: all real numbers x except x = ±7
5 points
QUESTION 3
Determine the domains of f and g.
Domain of f: all real numbers x except x = -6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±36
Domain of g: all real numbers x except x=6
Domain of f: all real numbers x except x = 6
Domain of g: all real numbers x
Domain of f: all real numbers x except x = ±6
Domain of g: all real numbers x except x=6
5 points
QUESTION 4
Find the domain of
all real numbers except x = -9
all real numbers except x = 81
all real numbers except x = 9
all real numbers except x = 9 and x = -9
all real numbers
5 points
QUESTION 5
Find the domain of the function and identify any vertical and horizontal asymptotes.
Domain: all real numbers x except x = 2
Vertical asymptote: x = 2
Horizontal asymptote: y = -1
Domain: all real numbers x
Vertical asymptote: x = -2
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -1
Domain: all real numbers x except x = 2
Vertical asymptote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -2
Vertical asympotote: x = 0
Horizontal asympotote: y = 2
5 points
QUESTION 6
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x except x = 0
Vertical asympotote: x = 0
Horizontal asympotote: y = -2
Domain: all real numbers x except x = -6
Vertical asympotote: x = -6
Horizontal asympotote: No horizontal asymptote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asympotote: No horizontal asympotote
Domain: all real numbers x except x = 6
Vertical asympotote: x = 6
Horizontal asymptote: y = 2
Domain: all real numbers x
Vertical asymptote: x = -6
Horizontal asymptote: y = 0
5 points
QUESTION 7
Find the domain of the function and identify any vertical and horizontal asympototes.
Domain: all real numbers x
Vertical asympotote: No vertical asymptote
Horizontal asymptote: y = 9
Domain: all real numbers x except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
Domain: all real numbers x
Vertical asymptote: x = -9
Horizontal asymptote: y = 0
Domain: all real numbers x except x = 9
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
Domain: all real numbers x except x = 9
Vertical asymptote: x = 9
Hori ...
mc-ty-polynomial-2009-1.pdf
This document discusses polynomial functions. It defines a polynomial as a function involving only non-negative integer powers of x, and states that the degree of a polynomial is the highest power of x in its expression. It examines the graphs of polynomials up to degree 4 and how changing coefficients affects the graph. It also discusses turning points, roots, and multiplicity of roots of polynomials.
QUESTION 1· Select the correct description of right-hand and l.docx
QUESTION 1
· Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 4x2 - 5x + 4
·
·
· Falls to the left, rises to the right.
·
·
· Falls to the left, falls to the right.
·
·
· Rises to the left, rises to the right.
·
·
· Rises to the left, falls to the right.
·
·
· Falls to the left.
QUESTION 2
· Describe the right-hand and the left-hand behavior of the graph of
t(x) = 4x5 - 7x3 - 13
·
·
· Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
·
·
· Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
·
·
· Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
·
·
· Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.
·
·
· Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.
QUESTION 3
· Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 3 - 5x + 3x2 - 5x3
·
·
· Falls to the left, rises to the right.
·
·
· Falls to the left, falls to the right.
·
·
· Rises to the left, rises to the right.
·
·
· Rises to the left, falls to the right.
·
·
· Falls to the left.
QUESTION 4
· Select from the following which is the polynomial function that has the given zeroes.
2,-6
·
·
· f(x) = x2 - 4x + 12
·
·
· f(x) = x2 + 4x + 12
·
·
· f(x) = -x2 -4x - 12
·
·
· f(x) = -x2 + 4x - 12
·
·
· f(x) = x2 + 4x - 12
QUESTION 5
· Select from the following which is the polynomial function that has the given zeroes.
0,-2,-4
·
·
· f(x) = -x3 + 6x2 + 8x
·
·
· f(x) = x3 - 6x2 + 8x
·
·
· f(x) = x3 + 6x2 + 8x
·
·
· f(x) = x3 - 6x2 - 8x
·
·
· f(x) = x3 + 6x2 - 8x
·
QUESTION 6
· Sketch the graph of the function by finding the zeroes of the polynomial.
f(x) = 2x3 - 10x2 + 12x
·
·
· 0,2,3
·
·
· 0,2,-3
·
·
· 0,-2,3
·
·
· 0,2,3
·
·
· 0,-2,-3
QUESTION 7
Select the graph of the function and determine the zeroes of the polynomial.
f(x) = x2(x-6)
0,6,-6
QUESTION 8
· Use the Remainder Theorem and Synthetic Division to find the function value.
g(x) = 3x6 + 3x4 - 3x2 + 6, g(0)
·
·
· 6
·
·
· 3
·
·
· -3
·
·
· 8
·
·
· 7
QUESTION 9
Use the Remainder Theorem and Synthetic Division to find the function value.
f(x) = 3x3 - 7x + 3, f(5)
-343
343
345
340
344
QUESTION 10
· Use the Remainder Theorem and Synthetic Division to find the function value.
h( ...
DirectionsUse what you have learned in this course to answer th.docx
Directions:
Use what you have learned in this course to answer the following questions. Justify your responses completely. Each question is worth 5 points.
1.
Solve for
n
:
–6(
n
– 8) = 4(12 – 5
n
) + 14
n
.
2
. For
f(
x
) = 2|
x
+3| – 5
, name the type of function and describe each of the three transformations from the parent function
f(
x
) = |
x
|
.
3.
Determine whether
f
(
x
) = –5 – 10
x
+ 6
has a maximum or a minimum value. Find that value and explain how you know.
4.
The median weekly earnings for American workers in 1990 was $412 and in 1999 it was $549. Calculate the average rate of change between 1990 and 1999.
5.
Find the roots of the parabola given by the following equation.
2
x
2+ 5
x
- 9 = 2
x
6.
Describe the end behavior and determine whether the graph represents an odd-degree or an even-degree polynomial function. Then state the number of real zeros.
7.
GEOMETRY
Recall the formula for finding the area of a rectangle. Define a variable for the width and set up an equation to find the dimensions of a rectangle that has an area 144 square inches, given that the length is 10 inches longer than its width.
DIMENSIONS:
Length: Width:
8.
The amount
f
(
t
) of a certain medicine, in milligrams, in a patient’s bloodstream
t
minutes after being taken is given by
f
(
t
) =
.
Find the amount of medicine in the blood after 20 minutes.
9.
Graph
f(
x
) =
x
2 + 2
x
- 3
, label the function’s x-intercepts,
y
-intercept and vertex with their coordinates. Also draw in and label the axis of symmetry.
Image result for x y axis
10.
Determine whether the relation shown is a function. Explain how you know.
73-1.jpg
11.
Solve the inequality and graph the solution on a number line.
–3(5
y
– 4) ≥ 17
12.
Assume that the wooden triangle shown is a right triangle.
a. Write an equation using the Pythagorean Theorem and the measurements provided in the diagram.
Hint: (leg 1)2 + (leg 2)2 = (hypotenuse)2
b. Transform each side of the equation to determine if it is an identity.
13.
Use long division or synthetic division to find the quotient of .
14.
Simplify
(9 + 8 – 6)(4 – 5)
.
15.
Find the inverse of
h(
x
) = .
16.
If
f(
x
) = 2
x
– 1
and
g(
x
) = – 2
, find
[g
◦ f](
x
).
17.
Graph the function
y
= – 2
. Then state the domain and range of the function.
Domain:
Range:
18.
If
f(
x
) = 3
x
2 – 2
and
g(
x
) = 4x + 2
, what is the value of
f
+ g 2
?
The price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a T-shirt at the shop is $4 less than the price of a pair of shorts. Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136.
19.
Let
w
represent the price of one sweatshirt,
t
represent the price of one T-shirt, and
h
represent the price of one pair of shorts. Write a system of three equations that represents the prices of the clothing.
20.
Solve the system. Find the cost of eac.
Introduction to Functions
- A function is a rule that maps each input to a unique output. Not every rule defines a valid function.
- For a rule to be a valid function, it must map each input to only one output. The domain is the set of valid inputs, and the range is the set of corresponding outputs.
- Functions can be represented graphically by plotting the input-output pairs. The graph of a valid function should only intersect the vertical line above each input once.
Lesson 10 derivative of exponential functions
1. The document discusses differentiating exponential functions by applying properties of exponents and logarithms. It provides formulas for differentiating exponentials and natural logarithms.
2. Examples are given of differentiating various exponential functions using the formulas and properties provided. Logarithmic differentiation is also described as a method to differentiate complicated algebraic functions.
3. Steps in applying logarithmic differentiation are outlined, including taking the logarithm of both sides and applying logarithm properties before differentiating.
D.e.v
The document summarizes how various Avengers calculate and solve different math problems related to their superpowers and equipment. Captain America finds the area of his shield as a function of circumference. Iron Man solves a quadratic equation to power his arc reactor. The Hulk smashes a wall and calculates how many pieces it breaks into. Hawkeye finds the equation of a parabola based on its vertex and a point. Thor analyzes the domain and graph of a skipping hammer's movement. Black Widow determines the domain and range of a radical function.
G10_Daily Lesson Log_Second QUARTER.docx
The document outlines the daily lesson log for a Grade 10 mathematics class. It includes 4 sessions on the topic of polynomial functions. The objectives are to illustrate, find intercepts of, and graph polynomial functions. Examples are provided for identifying key features of polynomials like degree, leading coefficient, constant term, and finding x- and y-intercepts by setting the polynomial equal to 0 or using the factored form. The behavior of graphs is also discussed based on whether the degree is odd or even, and the sign of the leading coefficient.
grph_of_polynomial_fnctn.ppt
This document discusses graphs of polynomial functions. It defines a polynomial function as a function of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where n is a nonnegative integer and each ai is a real number. The degree of the polynomial is n and the leading coefficient is an. Polynomial graphs are continuous and smooth without breaks or cusps. The behavior of graphs as x approaches positive or negative infinity depends on the sign of the leading coefficient and whether the degree is odd or even. Polynomials can have real zeros where they intersect the x-axis. Their graphs may have up to n turning points and n zeros.
Polynomial functions
This document discusses polynomial functions. A polynomial is a sum of monomials, and a polynomial function with a single variable is called a polynomial function. The degree of a polynomial is the highest exponent of its variable, and the leading coefficient is the coefficient of the term with the highest degree. Polynomial functions are classified based on their degree as linear, quadratic, cubic, etc. The document also discusses evaluating polynomial functions for different inputs, the general shapes of polynomial functions based on degree and leading coefficient, and the remainder and factor theorems.
1 13s-f
This document contains the instructions for a Calculus I final exam consisting of two parts. Part I has 10 multiple choice questions worth 5 points each involving derivatives, anti-derivatives, limits, and finding absolute maxima and minima. Part II has 6 longer form problems worth between 1-10 points each involving implicit differentiation, linearization, graphing functions, finding absolute extrema, and a word problem about the speed of a shadow. Students are instructed to show their work and simplify answers where possible to earn full credit.
Module 3 polynomial functions
This module discusses polynomial functions of degree greater than two. The key points are:
1. The graph of a third-degree polynomial has both a minimum and maximum point, while higher degree polynomials have one less turning point than their degree.
2. Methods like finding upper and lower bounds and Descartes' Rule of Signs can help determine properties of the graph like zeros.
3. Odd degree polynomials increase on the far left and right if the leading term is positive, and decrease if negative. Even degree polynomials increase on the far left and decrease on the far right, or vice versa.
6.3 evaluating-and-graphing-polynomila-functions
This document discusses polynomial functions. It defines polynomial functions as functions of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where the exponents are whole numbers. It describes the leading coefficient, constant term, and degree of a polynomial function. Common types of polynomial functions like constant, linear, quadratic, cubic, and quartic functions are summarized. Methods for identifying if a function is a polynomial function, evaluating polynomial functions using direct substitution and synthetic substitution, and determining the left and right behavior of a polynomial function's graph are also discussed.
6.3 evaluating-and-graphing-polynomila-functions
This document discusses polynomial functions. It defines polynomial functions as functions of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where the exponents are whole numbers. It describes the leading coefficient, constant term, and degree of a polynomial function. Common types of polynomial functions like constant, linear, quadratic, cubic, and quartic functions are identified based on their degree. Methods for identifying if a function is a polynomial function, evaluating polynomial functions using direct substitution and synthetic substitution, and determining the left and right behavior of a polynomial function's graph are also discussed.
Inverse functions 13
The document defines an inverse function as one that reverses the original function while maintaining the same rules. It discusses how to sketch the graph of an inverse function, which is a reflection of the original function graph across the line y=x. Examples are given of finding the inverse of functions like f(x)=2x and sketching the inverse graph f-1(x)=1/2x.
Module 1 quadratic functions
This module introduces quadratic functions. It discusses identifying quadratic functions as those with the highest exponent of 2, rewriting quadratic functions in general form f(x) = ax^2 + bx + c and standard form f(x) = a(x-h)^2 + k, and the key properties of quadratic graphs including the vertex and axis of symmetry. The module provides examples of identifying quadratic functions from equations and ordered pairs/tables and rewriting quadratic functions between general and standard form using completing the square.
Module 3 quadratic functions
This module covers quadratic functions and equations. Students will learn to determine the zeros of quadratic functions by relating them to the roots of quadratic equations. They will also learn to find the roots of quadratic equations using factoring, completing the square, and the quadratic formula. The module aims to help students derive quadratic functions given certain conditions like the zeros, a table of values, or a graph.
Function tables
This document discusses graphing functions from tables. It begins with definitions of function terminology like domain, range, input, and output. It then shows an example of using a function table to graph the function y=2x+3 by substituting x-values into the function, finding the corresponding y-values, and plotting these ordered pairs on a graph. It also includes an independent practice problem graphing the function y=5x-5 in the same manner.
Mth 163 Test-Unit II Na.docx
Mth 163 Test-Unit II Name___________________________
Sections 4.2-4.5, 2.5
1. Identify the left-hand and right-hand behavior of the graph of the polynomial
function f(x) = 6x
3
– 5x + 4.
2. Find a polynomial function that has zeros at -3, -1, and -2. Do not leave it in
factored form, but multiply out your answer.
3. Use the Intermediate Value Theorem to determine an interval bounded by integers
one unit in length in which the polynomial function is guaranteed to have a zero.
[EXPLAIN]
f(x) = 3x
5
– 9x
4
+ 5x
3
– 4x
2
+ x – 3
4. Use synthetic division to determine which of the following is a solution of the
equation 3x
4
– 2x
3
+ 26x
2
– 18x – 9 = 0.
[A] 3 [B] 1 [C] - 3 [D] 1/3 [E] None of these
5. Use synthetic division to divide 4x
4
– 4x
3
-8x – 14 by x – 2. Show your work and
state the quotient and remainder.
6. Factor 2x
3
+ 15x
2
+ 27x +10 given that x+2 is one of the factors. SHOW YOUR
WORK.
7. Determine the maximum number of zeros of the polynomial function
f(x) = 7x
2
+ 7x – 7x +2.
8. Use the Rational Zero Theorem to determine all possible rational zeros of
f(x) = 3x
5
– 6x
3
– 2x
2
+ 9
Do not find the actual zeros.
9. Find all the real zeros of the function f(x) = x
3
+ 2x
2
– 13x + 10. SHOW YOUR
WORK.
10. A polynomial function of degree 5 whose coefficients are real numbers has the
zeros 2, -9i, and -9+i. Identify the remaining zeros.
11. Write this polynomial in completely factored form: 10x
3
+29x
2
+ 4x – 15. SHOW
YOUR WORK.
12. Use the Remainder Theorem, not direct substitution, to find f(-2) when
f(x) = 4x
3
+ 3x + 10. Show your work and specify what f(-2) is.
13. Wouldn’t it be nice to win a million dollars? Most people think so, but one thing
many forget to consider is the amount of taxes that must be paid on the winnings. The
table below shows the relationship between the winnings and the approximate amount
of taxes to be paid to the IRS. Draw a scatter plot to model the data. Then find an
equation for the best-fit line and use the equation to estimate the amount of taxes to
be paid on winnings of $5,300,000.
Amount Won Taxes Due
$470,000 $100,000
$670,000 $180,000
$1,420,000 $480,000
$1,995,000 $710,000
2,545,000 $930,000
...
demo-for-shs.pptx
This document provides an overview of basic rules for differentiation, including:
1) The constant rule states that the derivative of a constant function is zero.
2) The power rule states that the derivative of a function f(x)=xr, where r is a constant, is f'(x)=rxr-1.
3) The coefficient rule states that the coefficient of a function does not affect differentiation; you ignore it and differentiate the function, then multiply the coefficient to the final derivative.
4) Rules are also provided for taking the derivative of a sum of functions and difference of functions.
5) Students are given practice problems and assignments to demonstrate their understanding of differentiation rules.
3 2 Polynomial Functions And Their Graphs
Polynomial functions have graphs that are smooth and continuous curves without sharp corners or breaks. Odd-degree polynomials have opposite behavior at their ends, while even-degree polynomials have the same behavior. The x-intercepts of a polynomial function are its zeros, which are found by setting the polynomial equal to 0. A polynomial function's graph can have at most n-1 turning points if the function is of degree n.
PreparationGo to httpwww.excelsior.edumediaoelstutoringSm.docx
This document provides instructions for using the Smarthinking tutoring service and submitting feedback. Students are directed to visit a URL to access Smarthinking, then use the service and write a short paragraph evaluating their experience, noting what they liked or disliked and whether they found it helpful. The paragraph should be submitted in a Word document for the assignment after checking content and spelling.
Practice Nurses will be comfortable having discussions about dea.docx
Practice
Nurses will be comfortable having discussions about death, and will collaborate with the care teams to ensure that patients and families have current and accurate information about the possibility or probability of a patient’s impending death.
Education
Basic and specialist End-of-Life Nursing Education Consortium (ELNEC) resources will be available.
Research
Support the use of evidence-based and ethical care, and support decision-making for care at the end of life.
Administration
Promote work environments in which the standards for excellent care extend through the patient’s death and into post-death care for families.
-from each subcategory of practice, education, research and administration above, 1) describe how the APRN can provide effective care in end of life management.
Minimum 300 words,
3 references no more than 5 years
APA Style
no plagiarism
.
More Related Content
Similar to QUESTION 11. Select the correct description of right-hand and le.docx
mc-ty-polynomial-2009-1.pdf
This document discusses polynomial functions. It defines a polynomial as a function involving only non-negative integer powers of x, and states that the degree of a polynomial is the highest power of x in its expression. It examines the graphs of polynomials up to degree 4 and how changing coefficients affects the graph. It also discusses turning points, roots, and multiplicity of roots of polynomials.
QUESTION 1· Select the correct description of right-hand and l.docx
QUESTION 1
· Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 4x2 - 5x + 4
·
·
· Falls to the left, rises to the right.
·
·
· Falls to the left, falls to the right.
·
·
· Rises to the left, rises to the right.
·
·
· Rises to the left, falls to the right.
·
·
· Falls to the left.
QUESTION 2
· Describe the right-hand and the left-hand behavior of the graph of
t(x) = 4x5 - 7x3 - 13
·
·
· Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
·
·
· Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
·
·
· Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
·
·
· Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.
·
·
· Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.
QUESTION 3
· Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function.
ƒ(x) = 3 - 5x + 3x2 - 5x3
·
·
· Falls to the left, rises to the right.
·
·
· Falls to the left, falls to the right.
·
·
· Rises to the left, rises to the right.
·
·
· Rises to the left, falls to the right.
·
·
· Falls to the left.
QUESTION 4
· Select from the following which is the polynomial function that has the given zeroes.
2,-6
·
·
· f(x) = x2 - 4x + 12
·
·
· f(x) = x2 + 4x + 12
·
·
· f(x) = -x2 -4x - 12
·
·
· f(x) = -x2 + 4x - 12
·
·
· f(x) = x2 + 4x - 12
QUESTION 5
· Select from the following which is the polynomial function that has the given zeroes.
0,-2,-4
·
·
· f(x) = -x3 + 6x2 + 8x
·
·
· f(x) = x3 - 6x2 + 8x
·
·
· f(x) = x3 + 6x2 + 8x
·
·
· f(x) = x3 - 6x2 - 8x
·
·
· f(x) = x3 + 6x2 - 8x
·
QUESTION 6
· Sketch the graph of the function by finding the zeroes of the polynomial.
f(x) = 2x3 - 10x2 + 12x
·
·
· 0,2,3
·
·
· 0,2,-3
·
·
· 0,-2,3
·
·
· 0,2,3
·
·
· 0,-2,-3
QUESTION 7
Select the graph of the function and determine the zeroes of the polynomial.
f(x) = x2(x-6)
0,6,-6
QUESTION 8
· Use the Remainder Theorem and Synthetic Division to find the function value.
g(x) = 3x6 + 3x4 - 3x2 + 6, g(0)
·
·
· 6
·
·
· 3
·
·
· -3
·
·
· 8
·
·
· 7
QUESTION 9
Use the Remainder Theorem and Synthetic Division to find the function value.
f(x) = 3x3 - 7x + 3, f(5)
-343
343
345
340
344
QUESTION 10
· Use the Remainder Theorem and Synthetic Division to find the function value.
h( ...
DirectionsUse what you have learned in this course to answer th.docx
Directions:
Use what you have learned in this course to answer the following questions. Justify your responses completely. Each question is worth 5 points.
1.
Solve for
n
:
–6(
n
– 8) = 4(12 – 5
n
) + 14
n
.
2
. For
f(
x
) = 2|
x
+3| – 5
, name the type of function and describe each of the three transformations from the parent function
f(
x
) = |
x
|
.
3.
Determine whether
f
(
x
) = –5 – 10
x
+ 6
has a maximum or a minimum value. Find that value and explain how you know.
4.
The median weekly earnings for American workers in 1990 was $412 and in 1999 it was $549. Calculate the average rate of change between 1990 and 1999.
5.
Find the roots of the parabola given by the following equation.
2
x
2+ 5
x
- 9 = 2
x
6.
Describe the end behavior and determine whether the graph represents an odd-degree or an even-degree polynomial function. Then state the number of real zeros.
7.
GEOMETRY
Recall the formula for finding the area of a rectangle. Define a variable for the width and set up an equation to find the dimensions of a rectangle that has an area 144 square inches, given that the length is 10 inches longer than its width.
DIMENSIONS:
Length: Width:
8.
The amount
f
(
t
) of a certain medicine, in milligrams, in a patient’s bloodstream
t
minutes after being taken is given by
f
(
t
) =
.
Find the amount of medicine in the blood after 20 minutes.
9.
Graph
f(
x
) =
x
2 + 2
x
- 3
, label the function’s x-intercepts,
y
-intercept and vertex with their coordinates. Also draw in and label the axis of symmetry.
Image result for x y axis
10.
Determine whether the relation shown is a function. Explain how you know.
73-1.jpg
11.
Solve the inequality and graph the solution on a number line.
–3(5
y
– 4) ≥ 17
12.
Assume that the wooden triangle shown is a right triangle.
a. Write an equation using the Pythagorean Theorem and the measurements provided in the diagram.
Hint: (leg 1)2 + (leg 2)2 = (hypotenuse)2
b. Transform each side of the equation to determine if it is an identity.
13.
Use long division or synthetic division to find the quotient of .
14.
Simplify
(9 + 8 – 6)(4 – 5)
.
15.
Find the inverse of
h(
x
) = .
16.
If
f(
x
) = 2
x
– 1
and
g(
x
) = – 2
, find
[g
◦ f](
x
).
17.
Graph the function
y
= – 2
. Then state the domain and range of the function.
Domain:
Range:
18.
If
f(
x
) = 3
x
2 – 2
and
g(
x
) = 4x + 2
, what is the value of
f
+ g 2
?
The price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a T-shirt at the shop is $4 less than the price of a pair of shorts. Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136.
19.
Let
w
represent the price of one sweatshirt,
t
represent the price of one T-shirt, and
h
represent the price of one pair of shorts. Write a system of three equations that represents the prices of the clothing.
20.
Solve the system. Find the cost of eac.
Introduction to Functions
- A function is a rule that maps each input to a unique output. Not every rule defines a valid function.
- For a rule to be a valid function, it must map each input to only one output. The domain is the set of valid inputs, and the range is the set of corresponding outputs.
- Functions can be represented graphically by plotting the input-output pairs. The graph of a valid function should only intersect the vertical line above each input once.
Lesson 10 derivative of exponential functions
1. The document discusses differentiating exponential functions by applying properties of exponents and logarithms. It provides formulas for differentiating exponentials and natural logarithms.
2. Examples are given of differentiating various exponential functions using the formulas and properties provided. Logarithmic differentiation is also described as a method to differentiate complicated algebraic functions.
3. Steps in applying logarithmic differentiation are outlined, including taking the logarithm of both sides and applying logarithm properties before differentiating.
D.e.v
The document summarizes how various Avengers calculate and solve different math problems related to their superpowers and equipment. Captain America finds the area of his shield as a function of circumference. Iron Man solves a quadratic equation to power his arc reactor. The Hulk smashes a wall and calculates how many pieces it breaks into. Hawkeye finds the equation of a parabola based on its vertex and a point. Thor analyzes the domain and graph of a skipping hammer's movement. Black Widow determines the domain and range of a radical function.
G10_Daily Lesson Log_Second QUARTER.docx
The document outlines the daily lesson log for a Grade 10 mathematics class. It includes 4 sessions on the topic of polynomial functions. The objectives are to illustrate, find intercepts of, and graph polynomial functions. Examples are provided for identifying key features of polynomials like degree, leading coefficient, constant term, and finding x- and y-intercepts by setting the polynomial equal to 0 or using the factored form. The behavior of graphs is also discussed based on whether the degree is odd or even, and the sign of the leading coefficient.
grph_of_polynomial_fnctn.ppt
This document discusses graphs of polynomial functions. It defines a polynomial function as a function of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where n is a nonnegative integer and each ai is a real number. The degree of the polynomial is n and the leading coefficient is an. Polynomial graphs are continuous and smooth without breaks or cusps. The behavior of graphs as x approaches positive or negative infinity depends on the sign of the leading coefficient and whether the degree is odd or even. Polynomials can have real zeros where they intersect the x-axis. Their graphs may have up to n turning points and n zeros.
Polynomial functions
This document discusses polynomial functions. A polynomial is a sum of monomials, and a polynomial function with a single variable is called a polynomial function. The degree of a polynomial is the highest exponent of its variable, and the leading coefficient is the coefficient of the term with the highest degree. Polynomial functions are classified based on their degree as linear, quadratic, cubic, etc. The document also discusses evaluating polynomial functions for different inputs, the general shapes of polynomial functions based on degree and leading coefficient, and the remainder and factor theorems.
1 13s-f
This document contains the instructions for a Calculus I final exam consisting of two parts. Part I has 10 multiple choice questions worth 5 points each involving derivatives, anti-derivatives, limits, and finding absolute maxima and minima. Part II has 6 longer form problems worth between 1-10 points each involving implicit differentiation, linearization, graphing functions, finding absolute extrema, and a word problem about the speed of a shadow. Students are instructed to show their work and simplify answers where possible to earn full credit.
Module 3 polynomial functions
This module discusses polynomial functions of degree greater than two. The key points are:
1. The graph of a third-degree polynomial has both a minimum and maximum point, while higher degree polynomials have one less turning point than their degree.
2. Methods like finding upper and lower bounds and Descartes' Rule of Signs can help determine properties of the graph like zeros.
3. Odd degree polynomials increase on the far left and right if the leading term is positive, and decrease if negative. Even degree polynomials increase on the far left and decrease on the far right, or vice versa.
6.3 evaluating-and-graphing-polynomila-functions
This document discusses polynomial functions. It defines polynomial functions as functions of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where the exponents are whole numbers. It describes the leading coefficient, constant term, and degree of a polynomial function. Common types of polynomial functions like constant, linear, quadratic, cubic, and quartic functions are summarized. Methods for identifying if a function is a polynomial function, evaluating polynomial functions using direct substitution and synthetic substitution, and determining the left and right behavior of a polynomial function's graph are also discussed.
6.3 evaluating-and-graphing-polynomila-functions
This document discusses polynomial functions. It defines polynomial functions as functions of the form f(x) = anxn + an-1xn-1 + ... + a1x + a0, where the exponents are whole numbers. It describes the leading coefficient, constant term, and degree of a polynomial function. Common types of polynomial functions like constant, linear, quadratic, cubic, and quartic functions are identified based on their degree. Methods for identifying if a function is a polynomial function, evaluating polynomial functions using direct substitution and synthetic substitution, and determining the left and right behavior of a polynomial function's graph are also discussed.
Inverse functions 13
The document defines an inverse function as one that reverses the original function while maintaining the same rules. It discusses how to sketch the graph of an inverse function, which is a reflection of the original function graph across the line y=x. Examples are given of finding the inverse of functions like f(x)=2x and sketching the inverse graph f-1(x)=1/2x.
Module 1 quadratic functions
This module introduces quadratic functions. It discusses identifying quadratic functions as those with the highest exponent of 2, rewriting quadratic functions in general form f(x) = ax^2 + bx + c and standard form f(x) = a(x-h)^2 + k, and the key properties of quadratic graphs including the vertex and axis of symmetry. The module provides examples of identifying quadratic functions from equations and ordered pairs/tables and rewriting quadratic functions between general and standard form using completing the square.
Module 3 quadratic functions
This module covers quadratic functions and equations. Students will learn to determine the zeros of quadratic functions by relating them to the roots of quadratic equations. They will also learn to find the roots of quadratic equations using factoring, completing the square, and the quadratic formula. The module aims to help students derive quadratic functions given certain conditions like the zeros, a table of values, or a graph.
Function tables
This document discusses graphing functions from tables. It begins with definitions of function terminology like domain, range, input, and output. It then shows an example of using a function table to graph the function y=2x+3 by substituting x-values into the function, finding the corresponding y-values, and plotting these ordered pairs on a graph. It also includes an independent practice problem graphing the function y=5x-5 in the same manner.
Mth 163 Test-Unit II Na.docx
Mth 163 Test-Unit II Name___________________________
Sections 4.2-4.5, 2.5
1. Identify the left-hand and right-hand behavior of the graph of the polynomial
function f(x) = 6x
3
– 5x + 4.
2. Find a polynomial function that has zeros at -3, -1, and -2. Do not leave it in
factored form, but multiply out your answer.
3. Use the Intermediate Value Theorem to determine an interval bounded by integers
one unit in length in which the polynomial function is guaranteed to have a zero.
[EXPLAIN]
f(x) = 3x
5
– 9x
4
+ 5x
3
– 4x
2
+ x – 3
4. Use synthetic division to determine which of the following is a solution of the
equation 3x
4
– 2x
3
+ 26x
2
– 18x – 9 = 0.
[A] 3 [B] 1 [C] - 3 [D] 1/3 [E] None of these
5. Use synthetic division to divide 4x
4
– 4x
3
-8x – 14 by x – 2. Show your work and
state the quotient and remainder.
6. Factor 2x
3
+ 15x
2
+ 27x +10 given that x+2 is one of the factors. SHOW YOUR
WORK.
7. Determine the maximum number of zeros of the polynomial function
f(x) = 7x
2
+ 7x – 7x +2.
8. Use the Rational Zero Theorem to determine all possible rational zeros of
f(x) = 3x
5
– 6x
3
– 2x
2
+ 9
Do not find the actual zeros.
9. Find all the real zeros of the function f(x) = x
3
+ 2x
2
– 13x + 10. SHOW YOUR
WORK.
10. A polynomial function of degree 5 whose coefficients are real numbers has the
zeros 2, -9i, and -9+i. Identify the remaining zeros.
11. Write this polynomial in completely factored form: 10x
3
+29x
2
+ 4x – 15. SHOW
YOUR WORK.
12. Use the Remainder Theorem, not direct substitution, to find f(-2) when
f(x) = 4x
3
+ 3x + 10. Show your work and specify what f(-2) is.
13. Wouldn’t it be nice to win a million dollars? Most people think so, but one thing
many forget to consider is the amount of taxes that must be paid on the winnings. The
table below shows the relationship between the winnings and the approximate amount
of taxes to be paid to the IRS. Draw a scatter plot to model the data. Then find an
equation for the best-fit line and use the equation to estimate the amount of taxes to
be paid on winnings of $5,300,000.
Amount Won Taxes Due
$470,000 $100,000
$670,000 $180,000
$1,420,000 $480,000
$1,995,000 $710,000
2,545,000 $930,000
...
demo-for-shs.pptx
This document provides an overview of basic rules for differentiation, including:
1) The constant rule states that the derivative of a constant function is zero.
2) The power rule states that the derivative of a function f(x)=xr, where r is a constant, is f'(x)=rxr-1.
3) The coefficient rule states that the coefficient of a function does not affect differentiation; you ignore it and differentiate the function, then multiply the coefficient to the final derivative.
4) Rules are also provided for taking the derivative of a sum of functions and difference of functions.
5) Students are given practice problems and assignments to demonstrate their understanding of differentiation rules.
3 2 Polynomial Functions And Their Graphs
Polynomial functions have graphs that are smooth and continuous curves without sharp corners or breaks. Odd-degree polynomials have opposite behavior at their ends, while even-degree polynomials have the same behavior. The x-intercepts of a polynomial function are its zeros, which are found by setting the polynomial equal to 0. A polynomial function's graph can have at most n-1 turning points if the function is of degree n.
Similar to QUESTION 11. Select the correct description of right-hand and le.docx (20)
QUESTION 1· Select the correct description of right-hand and l.docx
QUESTION 1· Select the correct description of right-hand and l.docx
DirectionsUse what you have learned in this course to answer th.docx
DirectionsUse what you have learned in this course to answer th.docx
More from IRESH3
PreparationGo to httpwww.excelsior.edumediaoelstutoringSm.docx
This document provides instructions for using the Smarthinking tutoring service and submitting feedback. Students are directed to visit a URL to access Smarthinking, then use the service and write a short paragraph evaluating their experience, noting what they liked or disliked and whether they found it helpful. The paragraph should be submitted in a Word document for the assignment after checking content and spelling.
Practice Nurses will be comfortable having discussions about dea.docx
Practice
Nurses will be comfortable having discussions about death, and will collaborate with the care teams to ensure that patients and families have current and accurate information about the possibility or probability of a patient’s impending death.
Education
Basic and specialist End-of-Life Nursing Education Consortium (ELNEC) resources will be available.
Research
Support the use of evidence-based and ethical care, and support decision-making for care at the end of life.
Administration
Promote work environments in which the standards for excellent care extend through the patient’s death and into post-death care for families.
-from each subcategory of practice, education, research and administration above, 1) describe how the APRN can provide effective care in end of life management.
Minimum 300 words,
3 references no more than 5 years
APA Style
no plagiarism
.
PrejudiceAlthough related, stereotypes and prejudice are separ.docx
Prejudice
Although related, stereotypes and prejudice are separate entities.
Prejudice
is holding negative feelings for a group of people, or even a particular person, and is often considered the “emotional component to intergroup attitudes” (Levy & Hughes, 2009, p. 24). As mentioned in the previous week,
stereotyping
is the “cognitive process of intergroup attitudes,” generally referring to associating attributes to a particular group (Levy & Hughes, 2009, p. 24). The presence of stereotypes or intergroup bias leads to prejudiced behavior in some instances. When prejudice behavior does occur, the individual’s emotional response often plays a role.
For this Discussion, review the media
Prejudice
and consider how the emotions and stereotyping of the people in the media impacted their prejudiced behavior.
Reference:
Levy, S. R., & Hughes, J. M. (2009). Development of racial and ethnic prejudice among children. In T. D. Nelson (Ed.),
Handbook of prejudice, stereotyping, and discrimination
(pp. 23–42). New York, NY: Psychology Press.
With these thoughts in mind:
Post by Day 4
a brief interpretation of the events in the media. Then, describe any prejudiced behavior you observed and explain two ways the emotions of hte people in the media may have impacted their prejudiced behavior and why. Next, explain how the prejudice you observed in the media reinforced or disconfirmed stereotype content. Finally, explain how this information helps us understand the maintenance of group attitudes over time and situation.
Bottom of Form
·
Media: Laureate Education, Inc. (Executive Producer). (2011).
Prejudice
.
Baltimore, MD: Author.
(Click on the television screen once the video opens in a new window. “The Company” will appear on the television image.)
Note:
While the content within this media piece references Week 11, it is intended for Week 10 in this course.
·
o
Transcript
Readings
·
Course Text:
Handbook of Prejudice, Stereotyping, and Discrimination
·
o
Chapter 2, "Development of Racial and Ethnic Prejudice Among Children"
o
Chapter 14, "Intergroup Emotions Theory"
o
Chapter 15, "How Our Dreams of Death Transcendence Breed Prejudice, Stereotyping, and Conflict: Terror Management Theory"
·
Article: Devine, P. G. (1989). Stereotypes and prejudice: Their automatic and controlled components.
Journal of Personality and Social Psychology, 56
(1), 5–18. Retrieved from the Walden Library using the PsycINFO database.
.
PowerPoint1.Apple effects on Samsung·8 slides·Refe.docx
PowerPoint
1.
Apple effects on Samsung
·
8 slides
·
References or Citation (MLA)
2.
Global, Ethics and Security Management
·
8 slides and 1 video
·
References or Citation (MLA)
.
PowerPoint with 10 slides and speaker notes with 75-150 words per .docx
PowerPoint with 10 slides and speaker notes with 75-150 words per slide
The Medical Staff Coordinator has requested that you prepare a 10 slide PowerPoint presentation on one of the following topics to discuss with the incoming residents. The Medical Staff Coordinator has also requested you maintain a neutral position, discussing the legal and ethical issues surrounding the topic. You are also asked to use research (at least 2 sources) to substantiate your discussion.
Choose one of the following topics of contemporary ethical dilemmas.
Acquired Immune Deficiency Syndrome (AIDS)
Organ Donations
Human Genetics
Euthanasia
Assisted Suicide
Stem Cell Research
Abortion
.
preferencesDocument ViewerTurnitinOriginality ReportProces.docx
preferences
Document Viewer
Turnitin
Originality Report
Processed on: 28-Oct-2014 8:41 AM CDT
ID: 470269214
Word Count: 1441
Submitted: 1
1
By Renu Kumar
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17%
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9%
Student Papers:
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include quoted
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6% match (Internet from 18-Jun-2014)
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Running head: THE EFFECTS OF POPULATION DENSITY AND NOISE The Effects of Population Density and Noise
Renu Kumar
PSY/460
November 3, 2013 Christine Hander The
Effects of Population Density and Noise Population density and noise
can have many
effects
on individuals.
Population density
is
the
amount
of
people, which live in a particular area. Along with population density, comes noise; noise is typically an unwanted distraction. In this paper the subject to discuss is
the concepts of territoriality, privacy, and personal space; examine how the concepts of territoriality, privacy, and personal space have become increasingly important as
populations become
denser; clarify the effect nature has on individuals living in urban environments, describe the concept of noise and examine the effect it has on individuals; and examine strategies that can be used to reduce noise in the workplace or in the living environment. Concepts of
Territoriality,
Privacy, and Personal Space
Territories are areas
marked and defended by
their owners
and
often
used for life- sustaining activities
(Territoriality, 2004). The most common example of a person's territory would be his or her home because one tends to personalize and defend what is theirs. A person identifies themselves with his or her territory and any threat to that territory feels like a threat to themselves (Territoriality, 2004). A person feels connected to his or her territory and sees it as a means to satisfying his or her needs within society. Privacy is the selective control of access to oneself and group (Privacy, 2004). A person has the ability to decide who to allow in his or her territory or personal space. A person's
personal space
describes
the emotionally tinged zone around the .
Precedents Set By George WashingtonGeorge Washington was aware tha.docx
Precedents Set By George Washington
George Washington was aware that many of his actions would be regarded as precedents. Here are three precedents that Washington established:
Washington created the first Presidential Cabinet. Who was on the Cabinet, and what Departments did they represent? Who is on the Cabinet today, and what Departments do they represent?
Washington was the first President to leave office after two terms. Is that precedent still followed today? Why or why not?
Washington was the first to establish foreign policy, and issued the Proclamation of Neutrality. What situation did this proclamation address? What agency advises the President on foreign policy today? What is the role of this agency?
Be sure to include where you got your information. For example, include web site addresses. Must be a page and half.
.
Predictors of Abusive Supervision Supervisor Perceptions of Deep.docx
“Predictors of Abusive Supervision: Supervisor Perceptions of Deep
-Level Dissimilarity, Relationship Conflict, and
Subordinate Performance,” by Bennett Tepper, Sherry Moss, and
Michelle Duffy.
Write your critique in standard essay form. Begin with an introduction that defines the subject of your critique and your
point of view. You will need to identify and explain the author's ideas. Include specific passages that support your
description of the author's point of view. Offer your own opinion. Explain what you think about the argument. Defend your
point of view by raising specific issues or aspects of the argument. Describe several points with which you agree or
disagree and include specific passages from the article (you may summarize, quote, or paraphrase) that provide evidence
for your point of view. Explain how the passages support your opinion. Conclude your critique by summarizing your
argument and re-emphasizing your opinion. Your critique should be at least two full pages in length, using 12-point
double-spaced Times Roman font using APA format.
.
Pre-Lab QuestionsWhat major event occurs during interphase.docx
Pre-Lab Questions
What major event occurs during interphase?
A person, residing in a location where they are exposed to the sun often, develops a mutation in some of their skin cells resulting in cancer. Consider whether their offspring will be born with the same mutation. Use scientific evidence to support your answer.
Experiment 1: Following Chromosomal DNA Movement through Meiosis
Data Tables and Post-Lab Assessment
Part 1 - Meiotic Division Beads Diagram without Crossing Over
Prophase I
Metaphase I
Anaphase I
Telophase I
Prophase II
Metaphase II
Anaphase II
Telophase II
Cytokinesis
Part 2:
Meiotic Division Beads Diagram
with Crossing Over
Prophase I
Metaphase I
Anaphase I
Telophase I
Prophase II
Metaphase II
Anaphase II
Telophase II
Cytokinesis
Post-Lab Questions
1.
What is the ploidy of the DNA at the end of meiosis I? What about at the end of meiosis II?
2.
How are meiosis I and meiosis II different?
3.
Why do you use non-sister chromatids to demonstrate crossing over?
4.
What combinations of alleles could result from a crossover between BD and bd chromosomes?
5.
How many chromosomes were present when meiosis I started?
6.
How many nuclei are present at the end of meiosis II? How many chromosomes are in each?
7.
Identify two ways that meiosis contributes to genetic recombination.
8.
Why is it necessary to reduce the number of chromosomes in gametes, but not in other cells?
9.
Blue whales have 44 chromosomes in every cell. Determine how many chromosomes you would expect to find in the following:
Sperm Cell:
Egg Cell:
Daughter Cell from Meiosis I:
Daughter Cell from Meiosis II:
10.
Research and find a disease that is caused by chromosomal mutations. When does the mutation occur? What chromosomes are affected? What are the consequences?
11.
Diagram what would
happen if sexual reproduction took place for four generations using diploid (2n) cells.
Experiment 2: The Importance of Cell Cycle Control
Data
Post-Lab Questions
1.
Record your hypothesis from Step 1 in the Procedure section here.
2.
What do your results indicate about cell cycle control?
3.
Suppose a person developed a mutation in a somatic cell which diminishes the performance of the body’s natural cell cycle control proteins. This mutation resulted in cancer, but was effectively treated with a cocktail of cancer-fighting techniques. Is it possible for this person’s future children to inherit this cancer-causing mutation? Be specific when you explain why or why not.
4.
Why do cells which lack cell cycle control exhibit karyotypes which look physically different than cells with normal cell cycle.
5.
What are HeLa cells? Why are HeLa cells appropriate for this experiment?
.
Pre-Lab QuestionsUse the following classificatio.docx
Pre-Lab Questions
Use the following classifications to determine which organism is least related out of the three. Explain your rationale.
Table 2: Classifications
Classification Level
American Green Tree Frog
European Fire- Bellied Toad
Eastern Newt
Domain
Eukarya
Eukarya
Eukarya
Kingdom
Animalia
Animalia
Animalia
Phylum
Chordata
Chordata
Chordata
Class
Amphibia
Amphibia
Amphibia
Order
Anura
Anura
Caudata
Family
Hylidae
Bombinatoridae
Salamandridae
Genus
Tursipops
Bombina
Notophthalmus
Species
cinerea
bombina
viridescens
How has DNA sequencing affected the science of classifying organisms?
You are on vacation and see an organism that you do not recognize. Discuss what possible steps you can take to classify it.
Exercise 1: Dichotomous Key Practice
Table 3: Dichotomous Key Results
Organism
Binomial Name
i
ii
iii
iv
v
vi
vii
viii
ix
x
xi
xii
xiii
Post-Lab Questions
What do you notice about the options of each step as they go from number one up?
How does your answer from Que
stion 1 relate to the Linnaean classification system?
Exercise 2: Classification of Organisms
Data Tables and Post-Lab Assessment
Table 2: Key Characteristics of Some Organisms
Organism
Kingdom
Domain
Defined Nucleus
Motile
Cell Wall
Photosynthesis
Unicellular
E. coli
Yes
Yes
Protozoa
Yes
Yes
Yes
Mushroom
Yes
Yes
Sunflower
Yes
Yes
Yes
Bear
Yes
Yes
Figure 4:
Exercise 2 - Classification of Organisms Flow Chart
Post-Lab Questions
Did this series of questions correctly organize each organism? Why or why not?
What additional questions would you ask to further categorize the items
within
the kingdoms (Hint: think about other organisms in each of the kingdoms and what makes them different than the examples used here)?
What questions would you have asked instead of the ones that you answered above when classifying the organisms?
.
Pre-Lab QuestionsNitrogen fixation is a natural process by whi.docx
Pre-Lab Questions
Nitrogen fixation is a natural process by which inert or unreactive forms of nitrogen are transformed into usable nitrogen. Why is this process important to life?
Given when you have learned about the hydrogen bonding shared between nucleic acids in DNA, which pair is more stable under increasing heat: adenine and thymine, or cytosine and guanine? Explain why.
Which of the following is not an organic molecule; Methane (CH
4
), Fructose (C
6
H
12
O
6
), Ethanol (C
6
H
12
O), or Ammonia (NH
3
)? How do you know?
Experiment 1: Testing for Proteins
Data Tables and Post-Lab Assessment
Table 1: A Priori Predictions
Table 1: A Priori Predictions
Sample
Will There be Protein Present?
Initial Color
Final Color
1 - Albumin
Solution
2 - Gelatin
.
Pre-AssignmentWrite a 3-4 page paper (not counting cover page and .docx
Pre-Assignment
Write a 3-4 page paper (not counting cover page and refeence page) that addresses your view on the following:
1. Why do you think people protest?
2. What aspects of movements do you feel reflect a democratic character and democratic processes?
3. Why do you think some movements, notably the U.S.Civil Rights Movement, are widely celebrated and others are feared?
4. Why do you think protesters sometimes become violent, and does it help or hurt their cause?
5. In your opinion, are conventional tactics like rallies and marches more effective; why or why not?
Course textbook using: Eitzen, D. Stanley & Stewart, Kenneth (2007).
Solution
s to social problems from the bottom up:
successful social movements
.
Pearson Education, Inc. [ISBN-10: 0205468845]
.
PowerPoint Length 6 slides (excluding title and reference slid.docx
PowerPoint Length:
6 slides (excluding title and reference slides) and speaker notes of 200 words per slide
A key component of an effective workplace is the ability of the groups to successfully collaborate. Choose a work group within your organization. Using a model of organizational improvement, plan a development project for this group. Include responses to the following in your presentation:
Describe the group, its purpose (work function), how this group fits into the overall organization, its reporting relationships, and its key stakeholders.
How will you gather data (interviews, questionnaires, or group discussions) from the group and any key stakeholders?
Describe the type of data that you will need to design your development plan.
How will you diagnose the level of functioning for the group?
Give a few examples of developmental activities that you would use for various levels of functioning that are based on your diagnosis.
How would you communicate the progress of the group to both group members and key stakeholders?
4ip
.
Practice Before IRS Please respond to the followinghttpwww..docx
Practice Before IRS"
Please respond to the following:
http://www.irs.gov/Tax-Professionals/Enrolled-Agents/Circular-230-Disciplinary-Proceedings
,
analyze the persons / parties that the disciplinary proceedings are applicable too. Based on your analysis, propose at least two (2) other persons / parties that you would add. Provide support for your proposal.
Analyze Section 10.82 disciplinary proceedings for expedited suspension. Based on your analysis, give your opinion as to whether or not the expedited suspension rules are an effective deterrent to violators. Justify your response.
.
PPT about fair use advertisement case in bisiness law.Introduce pr.docx
This PowerPoint presentation summarizes a fair use advertisement case in business law. It introduces the presenter and case, discusses the subject and highest court that heard the case, provides relevant facts and the outcome, explains the court's reasoning and provides historical context including the date. It also discusses any updates to the law as a result of the case.
Ppt data warehouse tasks First Style1-Dimensions2- The fact.docx
Ppt data warehouse tasks: First Style
1-Dimensions
2- The fact table
3- Browse the cube
4- Create Mining Structure:
·
Dependency network
·
Decision tree
·
Drill through
·
Mining legend
·
Attribute profile
·
Attribute Discrimination
·
Mining accuracy chart.
Ppt data warehouse tasks: Second Style
1-
Load database
2-
Cleaning data and check keys ( model)
3-
Create data ( dimension)
4-
Duplicate: decision tree
5-
Create relationship
6-
Deploy cube
7-
Report services
.
Prejudice, Stereotypes, and DiscriminationIn many cases, prejudice.docx
Prejudice, Stereotypes, and Discrimination
In many cases, prejudice stems from the unknown. As individuals, we tend to migrate toward those who may look like us, act like us, and think like us. As a result, it may be difficult for us to open our minds and embrace those whose values, beliefs, and overall sense of self differ from our own.
For this assignment, compose a paper that is three to four pages in length. In your paper, discuss the impacts of prejudice, stereotypes, and discrimination in the context of social psychology. Be sure to address the following points:
1. Define and describe the following terms: prejudice, stereotype, discrimination, and ingroup vs. outgroup. Based on your own experiences in the social world, can you relate to any of these terms? Do you identify with a particular term? Why or why not?
2. Examine the social, cognitive, and societal origins of prejudice and stereotypes. Be sure to include specific information regarding categorization, such as ingroup favoritism and the outgroup homogeneity effect, norms, competition for resources, and social inequalities. Of the categories presented, which do you think are the most significant in our society and in your particular community?
3. Analyze the influences that promote stereotyping, and offer strategies to reduce prejudice. What are the consequences of stereotyping and discrimination? Who does this behavior hurt, and in what ways does it hurt them? Are we inadvertently creating self-fulfilling prophecies in our society? If so, how can we take steps to improve attitudes, judgments, and behaviors?
Your paper must include an introduction, a thesis statement, and a conclusion. Your completed assignment should be three to four pages in length (excluding title and reference pages), include a minimum of three references, and follow APA guidelines as outlined in the Ashford Writing Center.
.
Preparation•Review the document titled City of Charlottesville 20.docx
Preparation
•Review the document titled “City of Charlottesville 2010 Annual Comprehensive Plan” located in the course shell. Write a three to four (3-4) page paper in which you:
1.
Review the “City of Charlottesville 2010 Annual Comprehensive Plan” and then complete Exercise 1 on page 152 using Exhibits C and D in the Annual Report and Table 9.4 on page 148. Change the title headers to the agency name. Save the Excel File as the agency’s name and include the Multiyear Plan.
2.
Analyze the comparison of ratios.
3.
Analyze the measures of liquidity.
4.
Analyze the long-term solvency.
5.
Analyze asset management rations.
.
PowerPoint presentationImagine that you are a consultant for a.docx
PowerPoint presentation
Imagine that you are a consultant for an organization, and they want you to work on developing their core values. The organization would like their core values to reflect key attributes of their culture.
Select an organization, such as a company, community group, or nonprofit organization.
Create a 10- to 12-Microsoft® PowerPoint® slide presentation describing cultural, research-based models and how they help clarify the organization's core values.
Include at least three credible, peer-reviewed references.
Format the citations in your presentation consistent with APA guidelines.
.
PowerPoint PresentationImagine that you are at your job discussi.docx
PowerPoint Presentation
Imagine that you are at your job discussing how much you are learning throughout your Sociology of Sport class.This has
led some of them to ask you to present the newfound knowledge to your monthly
“brown bag lunch”
group at work.
Create a PowerPoint presentation to share with your colleagues that discusses the three major theories found in Unit I:
1. Cultural theories
2. Interactionist theories
3. Structural theories
Include the following information regarding the theories:
What is known about the theory
Major focus of the analysis
Major concepts used
Related research studies
Please make sure to have a title slide with the title of the slideshow and your name, slides that are relevant for this
presentation, and a closing reference slide. You can also use the slide notes at the bottom of each slide as well, but it is
not required. Also, be creative with your slides.
You are required to have
at least six (6) slides
not including the title slide and reference slide. Please be creative with your
presentation through the use of colors, pictures, and other graphics.
Use your own words, and include citations for sources. In addition, consider utilizing the Success Center to help with
your presentation.
.
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Chapter 2
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Chapter 3
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Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
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Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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QUESTION 11. Select the correct description of right-hand and le.docx
- 1. QUESTION 1 1. Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. Rises to the left, falls to the right Rises to the right, rises to the left Falls to the left, rises to the right Falls to the right Falls to the left, falls to the right 4 points QUESTION 2 1. Select the correct description of right-hand and left-hand behavior of the graph of the polynomial funciton. f(x) = 4x2 - 5x + 4 Falls to the left, rises to the right Falls to the left, falls to the right Rises to the left, rises to the right
- 2. Rises to the left, falls to the right Falls to the left 4 points QUESTION 3 1. Find all the real zeroes of the polynomial function. f(x) = x2 - 25 -25 5 -5 25 ±5 4 points QUESTION 4 1. Use synthetic division to divide. (4x3 + x2 - 11x + 6) ÷ (x + 2) 4x2 - 5x - 6 4x2 - 7x + 3
- 3. 4x2 - 2x - 2 4x2 + 5x - 12 4x2 + 7x - 4 4 points QUESTION 5 1. Use the Remainder Theorem and synthetic division to find the function value. Verify your answers using another method. h(x) = x3 - 6x2 - 5x + 7 h(-8) -849 -847 -851 -848 -845 4 points QUESTION 6 1. Find all the rational zeroes of the function. x3 - 12x2 + 41x - 42 -2, -3, -7
- 4. 2, 3, 7 2, -3, 7 -2, 3, 7 -2, 3, -7 4 points QUESTION 7 1. The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p) = -25p2 + 1700p where p is the price per unit (in dollars). Find the unit price that will yield a maximum revenue. $38 $35 $36 $37 $34 4 points QUESTION 8 1. Find the domain of the function
- 5. Domain: all real numbers x except x = 7 Domain: all real numbers x except x = ±49 Domain: all real numbers x except x = ±8 Domain: all real numbers x except x = -7 Domain: all real numbers x except x = ±7 4 points QUESTION 9 1. Find the domain of the function and identify any vertical and horizontal asymptotes. Domain: all real numbers x Vertical asymptote: x = 0 Horizontal asymptote: y = 0 Domain: all real numbers x except x = 2 Vertical asymptote: x = 0 Horizontal asymptote: y = 0 Domain: all real numbers x except x = 5 Vertical asymptote: x = 0 Horizontal asymptote: y = 2
- 6. Domain: all real numbers x Vertical asymptote: x = 0 Horizontal asymptote: y = 2 Domain: all real numbers x except x = 5 Vertical asymptote: x = 5 Horizontal asymptote: y = 0 4 points QUESTION 10 1. Simplify f and find any vertical asymptotes of f. x+3; vertical asymptote: x = -3 x; vertical asymptote: none x; vertical asymptote: x = -3 x-3; vertical asymptote: none x2; vertical asymptote: none 4 points QUESTION 11 1. Determine the equations of any horizontal and vertical asymptotes of horizontal: y = 5; vertical: x = 0
- 7. horizontal: y = 1; vertical: x = -5 horizontal: y = 1; vertical: x = 1 and x = -5 horizontal: y = -1; vertical: x = -5 horizontal: y = 0; vertical: none 4 points QUESTION 12 1. Identify all intercepts of the following function. x-intercepts: (±3, 0) no intercepts x-intercepts: (-3,0) x-intercepts: (0,0) x-intercepts: (3,0) 4 points QUESTION 13 1. Select the correct graph of the function.
- 8. 4 points QUESTION 14 1. The game commission introduces 100 deer into newly acquired state game lands. The population N of the herd is modeled by where t is the time in years. Find the populations when t=40. (Round your answer to the nearest whole number.) 1,442 deer 1,632 deer 1,594 deer 1,550 deer
- 9. 1,500 deer 4 points QUESTION 15 1. Evaluate the function at the indicated value of x. Round your result to three decimal places. Function: f(x) = 6000(6x) Value: x = -1.3 584.191 784.191 -584.191 684.191 -784.191 4 points QUESTION 16 1. Select the graph of the function.
- 10. 4 points QUESTION 17 1. Use the One-to-One Property to solve the equation for x. ex2-6 = e5x x = -6 x = 5 x = 6, -1 x = -6, -1 x = -6,1 4 points QUESTION 18 1. log366 = 1/2 36½ = -6 36½ = 6 6½ = 36
- 11. 36½ = -1/6 36½ = 1/6 4 points QUESTION 19 1. Write the exponential equation in logarithmic form. 272 = 729 log27729 = 2 log27729 = 1/2 log72927 = 2 log27729 = -2 log272 = 729 4 points QUESTION 20 1. Find the exact value of the logarighmic expression without using a calculator. 4 ln e7 7 28
- 12. 4 e 1 4 points QUESTION 21 1. Condense the expression to the logarithm of a single quantity. ln310 + ln3x ln3(10 - x) ln310/x ln3(10 + x) ln310x ln310x 4 points QUESTION 22 1. Solve for x. 6x = 1,296 6
- 13. 10 4 -6 -4 4 points QUESTION 23 1. Solve the exponential equation algebraically. Approximate the result to three decimal places. ex - 8 = 12 ln20 ≈ 2.485 ln20 ≈ 2.996 ln20 ≈ -2.485 ln20 ≈ 2.079 ln20 ≈ -2.996 4 points QUESTION 24 1. An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?
- 14. 1 year 14.40 years 13.86 years 14.86 years 13.40 years 4 points QUESTION 25 1. The populations (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modele by where t represents the year, with t = 0 corresponding to 2000. Use the model to find the numbers of cell sites in the year 2001. 2,418,774 2,419,774 2,421,774 2,420,774 2,422,774