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Software product selection
Selecting a software product for use in a healthcare facility can
be a complicated and laborious process, although the things
you've read this week about gathering and preparing
requirements can be a terrific aid in making the task easier.
Based on your experiences and the reading assignment for this
week, what other activities are required in order to make the
right decision about what system to purchase?
Instructions:
This is an open-book exam. You may refer to your text and
other course materials as you work on the exam, and you may
use a calculator.
Record your answers and work in this document.
There are 30 problems.
Problems #1-12 are multiple choice. Record your choice for
each problem.
Problems #13-21 are short answer. Record your answer for
each problem.
Problems #22-30 are short answer with work required. When
requested, show all work and write all answers in the spaces
allotted on the following pages. You may type your work using
plain-text formatting or an equation editor, or you may hand-
write your work and scan it. In either case, show work neatly
and correctly, following standard mathematical conventions.
Each step should follow clearly and completely from the
previous step. If necessary, you may attach extra pages.
You must complete the exam individually. Neither
collaboration nor consultation with others is allowed. Your
exam will receive a zero grade unless you complete the
following honor statement.
(
Please sign (or type) your name below the following honor
statement:
I have completed this
final examination
myself,
working independently and not consulting anyone except the
instructor.
I have neither given nor received help on this final examination.
Name ____________
______
___
Date___________________
)
MULTIPLE CHOICE. Record your answer choices.
1.7.
2.8.
3.9.
4.10.
5.11.
6.12.
SHORT ANSWER. Record your answers below.
13.
14.
15.
16.
17.
18.
19. (a)
(b)
(c)
20. (a)
(b)
(c)
(d)
21. (a)
(b)
(c)
(d)
SHORT ANSWER with Work Shown. Record your answers and
work.
Problem Number
Solution
22
Answers:
(a)
(b)
Work/for part (a) and explanation for part (b):
23
Answers:
(a)
(b)
(c)
Work for part (a):
24
Answer:
Work:
25
Answer:
Work:
26
Answers:
(a)
(b)
Work for part (a) and for part (b):
27
Answer:
Work:
28
Answer:
Work:
29
Answers:
(a)
(b)
Work for (b):
30
Answer:
Work:
College Algebra MATH 107 Spring, 2017, V3.2
Page 1 of 11
MATH 107 FINAL EXAMINATION
This is an open-book exam. You may refer to your text and
other course materials as you work
on the exam, and you may use a calculator. You must complete
the exam individually.
Neither collaboration nor consultation with others is allowed.
Record your answers and work on the separate answer sheet
provided.
There are 30 problems.
Problems #1–12 are Multiple Choice.
Problems #13–21 are Short Answer. (Work not required to be
shown)
Problems #22–30 are Short Answer with work required to be
shown.
MULTIPLE CHOICE
1. Determine the domain and range of the piecewise function. 1.
______
A. Domain [–2, 1]; Range [–2, 4]
B. Domain [–2, 4]; Range [–3, 3]
C. Domain [–3, 0]; Range [0, 4]
D. Domain [–3, 3]; Range [–2, 4]
2. Solve: 11 2 2x x+ = − 2. ______
A. −13
B. −1, 7
C. 7
D. No solution
2 4 -4
-2
-4
2
4
-2
College Algebra MATH 107 Spring, 2017, V3.2
Page 2 of 11
3. Determine the interval(s) on which the function is increasing.
3. ______
A. ( )1.3, 1.3−
B. ( ), 1−∞ − and ( )3,∞
C. ( )2.5, 1− and ( )4.5,∞
D. ( )1, 3
4. Determine whether the graph of 2y x= − is symmetric with
respect to the origin,
the x-axis, or the y-axis. 4. ______
A. symmetric with respect to the origin only
B. symmetric with respect to the x-axis only
C. symmetric with respect to the y-axis only
D. not symmetric with respect to the origin, not symmetric with
respect to the x-axis, and
not symmetric with respect to the y-axis
5. Solve, and express the answer in interval notation: | 9 – 7x |
≤ 12. 5. ______
A. [–3, 3/7]
B. [–3/7, 3]
C. (–∞, −3/7] ∪ [3, ∞)
D. (–∞, –3/7]
College Algebra MATH 107 Spring, 2017, V3.2
Page 3 of 11
6. Which of the following represents the graph of 4x − 7y = 28
? 6. ______
A. B.
C. D.
College Algebra MATH 107 Spring, 2017, V3.2
Page 4 of 11
7. Write a slope-intercept equation for a line parallel to the line
x – 8y = 3 which passes through
the point (16, –5). 7. ______
A. 8 123y x= − +
B.
1
3
8
y x= − −
C.
1
5
8
y x= −
D.
1
7
8
y x= −
8. Does the graph below represent a function and is it one-to-
one? 8. ______
A. It is a function but not one-to-one.
B. It is a function and it is one-to-one.
C. It is not a function and it is not one-to-one.
D. It is not a function but it is one-to-one.
College Algebra MATH 107 Spring, 2017, V3.2
Page 5 of 11
9. Express as a single logarithm: log a + log 1 – 2 log b. 9.
______
A. ( )ba 21log −+
b
a
2
1
log
2
log
ab
2
log
b
a
10. Which of the functions corresponds to the graph? 10.
______
A. ( ) 1xf x e−= +
B. ( ) 2xf x e−= +
C. ( ) 2xf x e−=
D. ( ) 2 xf x e−=
College Algebra MATH 107 Spring, 2017, V3.2
Page 6 of 11
11. Suppose that a function f has exactly one x-intercept.
Which of the following statements MUST be true?
11. ______
A. The equation f (x) = 0 has exactly one real-number solution.
B. f is a linear function.
C. f (x) ≥ 0 for all x in the domain of f.
D. f is an invertible function.
12. The graph of y = f (x) is shown at the left and the graph of y
= g(x) is shown at the right. (No
formulas are given.) What is the relationship between g(x) and f
(x)?
12. ______
y = f (x) y = g(x)
A. g(x) = f (x – 2)
B. g(x) = f (x) – 2
C. g(x) = f (x – 4)
D. g(x) = f (x + 2)
-2 2 4 -4
-2
-4
2
4
-2 2 4 -4
-2
-4
2
4
College Algebra MATH 107 Spring, 2017, V3.2
Page 7 of 11
SHORT ANSWER:
13. Multiply and simplify: (3 + 8i)(7 + 4i).
Write the answer in the form a + bi, where a and b are real
numbers. Answer: ________
14. Solve, and write the answer in interval notation:
4
0
2
x
x
+
≥
−
. Answer: ________
15. Water initially at 190° F. is left in a room of temperature
70° F to cool.
After t minutes, the temperature T of the water is given by T(t)
= 70 + 120e
– 0.096 t
Find the temperature of the water 25 minutes after it is left to
cool. (Round to the nearest degree.)
Answer: ________
16. Find the value of the logarithm: 2
1
log
16
. Answer: ________
17. Solve: 4 57 49x− = . Answer: ________
18. Suppose $7,600 is invested in an account at an annual
interest rate of 4.5% compounded
continuously. How long (to the nearest tenth of a year) will it
take the investment to double in
size? Answer: ________
19. Let f (x) = x2 + 10x + 33.
(a) Find the vertex. Answer: ________
(b) State the range of the function. Answer: ________
(c) On what interval is the function decreasing? Answer:
________
College Algebra MATH 107 Spring, 2017, V3.2
Page 8 of 11
20. Consider the polynomial P(x), shown in both standard form
and factored form.
4 3 21 3 3 13 1( ) 3 ( 2)( 1)( 3)( 4)
8 4 8 4 8
P x x x x x x x x x= − + − − + = − + − − −
(a) Which sketch illustrates the end behavior of the polynomial
function?
Answer: ________
(b) State the y-intercept. Answer: ________________
(c) State the zeros of the function. Answer: ________________
(d) State which graph below is the graph of P(x). Answer:
________
GRAPH A GRAPH B
GRAPH C GRAPH D
A.
B. C. D.
vvvv
vvvv
vvvv vvvv
College Algebra MATH 107 Spring, 2017, V3.2
Page 9 of 11
21. Let
3 9
( )
2
x
f x
x
−
=
−
.
(a) State the domain. Answer: _________________
(b) State the horizontal asymptote. Answer:
_________________
(c) State the vertical asymptote(s). Answer:
_________________
(d) Which of the following represents the graph of
3 9
( )
2
x
f x
x
−
=
−
? Answer: ______________
GRAPH A. GRAPH B.
GRAPH C. GRAPH D.
College Algebra MATH 107 Spring, 2017, V3.2
Page 10 of 11
SHORT ANSWER, with work required to be shown, as
indicated.
22. Let 5)( += xxf and g(x) = x – 3.
g
f
. Show work.
(b) Find the domain of the quotient function
g
f
. Explain.
23. Points (1, 2) and (–5, 6) are endpoints of the diameter of a
circle.
(a) What is the length of the diameter? Give the exact answer,
simplified as much as possible.
Show work.
(b) What is the center point C of the circle?
(c) Given the point C you found in part (b), state the point
symmetric to C about the x-axis.
24. Find the equation for a line which passes through the points
(4, 7) and (6, –3). Write the
equation in slope-intercept form. Show work.
25. A salesperson earns a base salary of $1,560 per month and a
commission of 7.8% on the
amount of sales. If the salesperson has a paycheck of $4,461.60
for one month, what was the
amount of sales for the month? Show work.
26. Let f (x) = 8x2 – 7 and g(x) = x – 5.
(a) Find the composite function ))(( xgf o and simplify. Show
work.
(b) Find ( ) (3)f go . Show work.
27. Find the exact solutions and simplify as much as possible:
3x2 = 6x + 5. Show work.
28. Given the function
1
( ) 8
6
f x x= + , find a formula for the inverse function. Show work.
College Algebra MATH 107 Spring, 2017, V3.2
Page 11 of 11
29. Donut Delights, Inc. has determined that when x donuts are
made daily, the profit P (in
dollars) is given by
P(x) = –0.002 x2 + 4.4x – 1200
(a) What is the company’s profit if 750 donuts are made daily?
(b) How many donuts should be made daily in order to
maximize the company’s profit? Show
work.
30. Solve:
2
0
10 32
2 4
x
x x
=
+
+
+ −
. Show work.

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Software product selectionSelecting a software product for use i.docx

  • 1. Software product selection Selecting a software product for use in a healthcare facility can be a complicated and laborious process, although the things you've read this week about gathering and preparing requirements can be a terrific aid in making the task easier. Based on your experiences and the reading assignment for this week, what other activities are required in order to make the right decision about what system to purchase? Instructions: This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. Record your answers and work in this document. There are 30 problems. Problems #1-12 are multiple choice. Record your choice for each problem. Problems #13-21 are short answer. Record your answer for each problem. Problems #22-30 are short answer with work required. When requested, show all work and write all answers in the spaces allotted on the following pages. You may type your work using plain-text formatting or an equation editor, or you may hand- write your work and scan it. In either case, show work neatly and correctly, following standard mathematical conventions. Each step should follow clearly and completely from the previous step. If necessary, you may attach extra pages. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Your exam will receive a zero grade unless you complete the following honor statement. ( Please sign (or type) your name below the following honor
  • 2. statement: I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination. Name ____________ ______ ___ Date___________________ ) MULTIPLE CHOICE. Record your answer choices. 1.7. 2.8. 3.9. 4.10. 5.11. 6.12. SHORT ANSWER. Record your answers below. 13. 14. 15. 16. 17. 18. 19. (a)
  • 3. (b) (c) 20. (a) (b) (c) (d) 21. (a) (b) (c) (d) SHORT ANSWER with Work Shown. Record your answers and work. Problem Number Solution 22 Answers:
  • 4. (a) (b) Work/for part (a) and explanation for part (b): 23 Answers: (a) (b)
  • 5. (c) Work for part (a): 24 Answer: Work:
  • 7. (a) (b) Work for part (a) and for part (b): 27 Answer:
  • 11.
  • 12. College Algebra MATH 107 Spring, 2017, V3.2 Page 1 of 11 MATH 107 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Record your answers and work on the separate answer sheet provided. There are 30 problems. Problems #1–12 are Multiple Choice. Problems #13–21 are Short Answer. (Work not required to be shown) Problems #22–30 are Short Answer with work required to be shown. MULTIPLE CHOICE
  • 13. 1. Determine the domain and range of the piecewise function. 1. ______ A. Domain [–2, 1]; Range [–2, 4] B. Domain [–2, 4]; Range [–3, 3] C. Domain [–3, 0]; Range [0, 4] D. Domain [–3, 3]; Range [–2, 4]
  • 14. 2. Solve: 11 2 2x x+ = − 2. ______ A. −13 B. −1, 7 C. 7 D. No solution 2 4 -4 -2 -4 2 4 -2 College Algebra MATH 107 Spring, 2017, V3.2
  • 15. Page 2 of 11 3. Determine the interval(s) on which the function is increasing. 3. ______ A. ( )1.3, 1.3− B. ( ), 1−∞ − and ( )3,∞ C. ( )2.5, 1− and ( )4.5,∞ D. ( )1, 3 4. Determine whether the graph of 2y x= − is symmetric with
  • 16. respect to the origin, the x-axis, or the y-axis. 4. ______ A. symmetric with respect to the origin only B. symmetric with respect to the x-axis only C. symmetric with respect to the y-axis only D. not symmetric with respect to the origin, not symmetric with respect to the x-axis, and not symmetric with respect to the y-axis 5. Solve, and express the answer in interval notation: | 9 – 7x | ≤ 12. 5. ______ A. [–3, 3/7] B. [–3/7, 3] C. (–∞, −3/7] ∪ [3, ∞) D. (–∞, –3/7]
  • 17. College Algebra MATH 107 Spring, 2017, V3.2 Page 3 of 11 6. Which of the following represents the graph of 4x − 7y = 28 ? 6. ______ A. B. C. D. College Algebra MATH 107 Spring, 2017, V3.2
  • 18. Page 4 of 11 7. Write a slope-intercept equation for a line parallel to the line x – 8y = 3 which passes through the point (16, –5). 7. ______ A. 8 123y x= − + B. 1 3 8 y x= − − C. 1 5
  • 19. 8 y x= − D. 1 7 8 y x= − 8. Does the graph below represent a function and is it one-to- one? 8. ______
  • 20. A. It is a function but not one-to-one. B. It is a function and it is one-to-one. C. It is not a function and it is not one-to-one. D. It is not a function but it is one-to-one. College Algebra MATH 107 Spring, 2017, V3.2 Page 5 of 11 9. Express as a single logarithm: log a + log 1 – 2 log b. 9. ______ A. ( )ba 21log −+
  • 22. 2 log b a 10. Which of the functions corresponds to the graph? 10. ______
  • 23. A. ( ) 1xf x e−= + B. ( ) 2xf x e−= + C. ( ) 2xf x e−= D. ( ) 2 xf x e−= College Algebra MATH 107 Spring, 2017, V3.2 Page 6 of 11 11. Suppose that a function f has exactly one x-intercept. Which of the following statements MUST be true? 11. ______ A. The equation f (x) = 0 has exactly one real-number solution. B. f is a linear function. C. f (x) ≥ 0 for all x in the domain of f.
  • 24. D. f is an invertible function. 12. The graph of y = f (x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f (x)? 12. ______
  • 25. y = f (x) y = g(x) A. g(x) = f (x – 2) B. g(x) = f (x) – 2 C. g(x) = f (x – 4) D. g(x) = f (x + 2) -2 2 4 -4 -2 -4 2 4 -2 2 4 -4 -2
  • 26. -4 2 4 College Algebra MATH 107 Spring, 2017, V3.2 Page 7 of 11 SHORT ANSWER: 13. Multiply and simplify: (3 + 8i)(7 + 4i). Write the answer in the form a + bi, where a and b are real numbers. Answer: ________ 14. Solve, and write the answer in interval notation: 4 0 2
  • 27. x x + ≥ − . Answer: ________ 15. Water initially at 190° F. is left in a room of temperature 70° F to cool. After t minutes, the temperature T of the water is given by T(t) = 70 + 120e – 0.096 t Find the temperature of the water 25 minutes after it is left to cool. (Round to the nearest degree.) Answer: ________
  • 28. 16. Find the value of the logarithm: 2 1 log 16 . Answer: ________ 17. Solve: 4 57 49x− = . Answer: ________ 18. Suppose $7,600 is invested in an account at an annual interest rate of 4.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: ________
  • 29. 19. Let f (x) = x2 + 10x + 33. (a) Find the vertex. Answer: ________ (b) State the range of the function. Answer: ________ (c) On what interval is the function decreasing? Answer: ________ College Algebra MATH 107 Spring, 2017, V3.2 Page 8 of 11 20. Consider the polynomial P(x), shown in both standard form and factored form. 4 3 21 3 3 13 1( ) 3 ( 2)( 1)( 3)( 4)
  • 30. 8 4 8 4 8 P x x x x x x x x x= − + − − + = − + − − − (a) Which sketch illustrates the end behavior of the polynomial function? Answer: ________ (b) State the y-intercept. Answer: ________________ (c) State the zeros of the function. Answer: ________________ (d) State which graph below is the graph of P(x). Answer: ________ GRAPH A GRAPH B
  • 31. GRAPH C GRAPH D A. B. C. D. vvvv vvvv vvvv vvvv College Algebra MATH 107 Spring, 2017, V3.2 Page 9 of 11 21. Let 3 9 ( )
  • 32. 2 x f x x − = − . (a) State the domain. Answer: _________________ (b) State the horizontal asymptote. Answer: _________________ (c) State the vertical asymptote(s). Answer: _________________
  • 33. (d) Which of the following represents the graph of 3 9 ( ) 2 x f x x − = − ? Answer: ______________ GRAPH A. GRAPH B. GRAPH C. GRAPH D.
  • 34. College Algebra MATH 107 Spring, 2017, V3.2 Page 10 of 11 SHORT ANSWER, with work required to be shown, as indicated. 22. Let 5)( += xxf and g(x) = x – 3.
  • 35. g f . Show work. (b) Find the domain of the quotient function g f . Explain. 23. Points (1, 2) and (–5, 6) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the x-axis.
  • 36. 24. Find the equation for a line which passes through the points (4, 7) and (6, –3). Write the equation in slope-intercept form. Show work. 25. A salesperson earns a base salary of $1,560 per month and a commission of 7.8% on the amount of sales. If the salesperson has a paycheck of $4,461.60 for one month, what was the amount of sales for the month? Show work. 26. Let f (x) = 8x2 – 7 and g(x) = x – 5. (a) Find the composite function ))(( xgf o and simplify. Show work. (b) Find ( ) (3)f go . Show work.
  • 37. 27. Find the exact solutions and simplify as much as possible: 3x2 = 6x + 5. Show work. 28. Given the function 1 ( ) 8 6 f x x= + , find a formula for the inverse function. Show work. College Algebra MATH 107 Spring, 2017, V3.2 Page 11 of 11
  • 38. 29. Donut Delights, Inc. has determined that when x donuts are made daily, the profit P (in dollars) is given by P(x) = –0.002 x2 + 4.4x – 1200 (a) What is the company’s profit if 750 donuts are made daily? (b) How many donuts should be made daily in order to maximize the company’s profit? Show work. 30. Solve: 2 0 10 32
  • 39. 2 4 x x x = + + + − . Show work.