Chapter. 5 Review
Name ____________
Date ____________
Find the domain and range of each relation.
1. {(–3, –7), (–1, –3), (0, –1), (2, 3), (4, 7)}
2. {(–5, –4), (–4, 2), (0, 2), (1, 3), (2, 4)}
Domain
Domain
Range
Range
Do the Mapping Diagrams represent Functions?
3.
4.
Evaluate each function rule for x = -2
5. ƒ(x) = 4x – 2
6. ƒ(x) = –2x + 1
7. g(x) = – x + 3
8. h(x) = x2 – 3
Find the range of each function for the given domain.
9. ƒ(x) = –3x + 1; {–2, –1, 0}
10.
Range:______________________
ƒ(x) = x2 + x – 2; {–2, 0, 1}
Range:_________________________
Model each rule with a table of values and a graph.
11. ƒ(x) = x + 1
12. ƒ(x) = 3x – 2
13. ƒ(x) = x2 + 1
14. The admission to a fairgrounds is $3.00 per vehicle plus $.50 per passenger. The total
admission is a function of the number of passengers.
a. Use the rule T(n) = 3 + 0.50n to make a table of values and then a graph.
b. What is the admission for a car with six people in it?
c. Should the points of the graph be connected by a line? Explain.
Graph each function.
15. ƒ(x) = 4x + 2
16. ƒ(x) = 2x
17.
ƒ(x) = x2 – 2x + 1
Use the vertical line test to determine if the graph a function.
18. ____________________
19. __________________
Determine whether each relation is a function.
20)
21)
22)
x
y
x
y
x
y
0
1
0
-2
2
-3
1
2
2
0
-1
-3
2
3
2
-4
0
-3
3
4
4
2
5
-3
Yes / No
Yes / No
Yes / No
Find the range of each function when the domain is (-2, -1, 0, 1, 2)
23) f(x) = x2 + 5
24) f(x) = -3x - 2
(
)
(
)
Model each rule with a table of values and a graph.
26) f(x) = x 2 + 3
25) f(x) = x - 3
x
x
6
y
6
y
5
5
-2
-2
4
-1
-1
2
-6 -5 -4 -3 -2 -1
1
2
-1
2
1
0
1
0
4
3
3
1
2
3
4
5
6
-2
-6 -5 -4 -3 -2 -1
1
2
-1
1
2
3
4
5
6
-2
-3
-3
-4
-4
-5
-5
-6
-6
Write a function rule to describe each statement:
27) The total cost of grapes if each pound costs $1.29. ____________________
28) The amount of money you can make cutting grass if you receive $12.00 per yard. ____________________
Write a function for each table of values.
29)
30)
X
y
2
6
3
8
4
10
5
12
__________________
x
y
-4
8
-2
4
0
0
2
-4
4
-8
___________________