The document outlines an agenda for a math class that includes a warm-up on missed test questions, learning about functions and their domains and ranges, using the vertical line test to determine if a relation is a function, and interpreting graphs. It provides examples of mapping relations to check if they are functions and using the vertical line test. Students are given practice problems to determine if relations are functions and to graph relations and use the vertical line test.

1. 9
Today:
 Warm-Up
 Functions, Domain, & Range
 Verticle Line Test/Mapping
 Interpreting Graphs

2. Warm-Up:
5 Most Missed from Test 35
Vers. 1;
39%
4
4
V.2;
34%
10. The final part of your landscaping budget went to
building a fish pond and stocking it with lobsters. While
shipping the lobsters, 30% of them died. Now you only
have 14 lobsters left. How many lobsters did you order?
A. 15 B. 20 C. 25 D. 30 E. 40
1. A 32 in. now TV costs $325 after a 13% discount.
What was the cost of the TV before the discount?
A. $358.76 B. $362.49 C. $367.85 D. $373.56 E. $388.76

3. 3
V2
22%
2. A 45 in. TV costs $ 550 after a 60% markup. What is
the wholesale price of the TV?
A. $880.00 B. $220.00 C. $330.00 D. $392.86 E. $343.75
2
V.2;
22%
8. For a science project you used 98 toothpicks, or 28%
of all the toothpicks you own. How many toothpicks do
you have left? A. 350 B. 327 C. 252 D. 197 E. 282
1
V.3;
20%
9. Your uncle Mario is hired to plant the new flowers
and trees. His wage is $6.25/hr. and the planting took 32
hours. What percent of your $8000 budget did you pay
Uncle Mario? A) 2.5% B) .25% C) 12% D) 112.5% E) 25%

4. Vocabulary

5. The Geometry Theorem:
Through any two points in a plane,
there can be only one line.
(Every equation has only one line, every line
has only one equation)

6. x
y
1-1
(0,4)
(4,0)
-2 Time
Height/ft.

7. Function Rules

8. Function Rules

9. Function Rules

10. The Cost of a Phone Call
y = .16x

11. The Cost of Renting a Backhoe
y =20x + 50
$50 rental fee plus $20 per hour.
The Process
B. Which one is the independent? The dependent?
Cost, # of hours

12. What is a Function?
A function is a relation that assigns each x-value only one y-value.
What does that mean? It means, in order for the relation to be
considered a function, each domain (x) value can point or be
associated with only one range (y) value.
There are two ways to see if a relation is a function:
1. Mappings
2. Vertical Line Test
……….

13. Functions: A Short Video

14. Mapping to Determine a Function
Create a mapping of the following relation and state
whether or not it is a function.
{(-1,2) ; (1, 2) ; (5, 3) ; (6, 8)}
Notice that even though there
are two 2’s in the range, you
only list the 2 once.
-1
1
5
6
2
3
8
This relation is a function
because each x-value maps to
only one y-value. It is still a
function if two x-values go to
the same y-value.

15. Examples of the Vertical Line Test
function
function
Not a function
Not a function
……….

16. Interpreting the Graph
H
e
i
g
h
t
H
e
i
g
h
t
P
e
o
p
l
e
A. Cost of a laptop, past 10 years B. Drag racing before hitting tree
C. World Population, last 700 years D. Person's height during lifetime
E. 3-point shot F. Running up, then down a hill
C
o
s
t
S
p
e
e
d
S
p
e
e
d

17. 3. Graph the following relations and use the vertical line test to see
if the relation is a function. Connect the pairs in the given order.
a. {(-3,-3) ; (0, 6) ; (3, -3)}
b. {(0,6) ; (3, 3) ; (0, 0)}
2. Use a mapping to see if the following relations are functions:
a. {(-4,-1) ; (-2, 2) ; (3, 1) ; (4, 2)}
b. {(0,-6) ; (1, 2) ; (7, -4) ; (1, 4)}

18. Answers:
1a. Domain: {-4, -2, 3, 4} Range: {-2, 2, 1}
1b. Domain: {0, 1, 7} Range: {-6, 2, -4, 4}
3a. 3b.
2a. 2b.
Function Not a
Function
-4
-2
3
4
-1
2
1
0
1
7
-6
2
-4
4
Not a
Function

19. Class Work: