NAME _____________________________________________ DATE ____________________________ PERIOD _____________
SCORE ___________
(Chapter 1)
Part 1: Multiple Choice
Instructions: Fill in the appropriate circle for the best answer.
1. The cost of renting a car is $125 a day. Which function represents the situation where d is the number of days?
A c ( d ) = 125 d +
125
24 d
B c ( d ) = 125 ⟦𝑑 + 1⟧
C c ( d ) = {
125𝑑 if ⟦𝑑⟧ = 𝑑
125⟦𝑑 + 1⟧ if ⟦𝑑⟧ < 𝑑
D c ( d ) = {
125𝑑 if ⟦𝑑⟧ = 𝑑
125⟦𝑑 − 1⟧ if ⟦𝑑⟧ < 𝑑
2. Given f ( x ) = – 𝑥 2
+ 2 x , what is f (–3)?
A
–15
B
–10
3. What is the zero of f ( x ) =
3
4 x – 12?
A
–16
B
–12
C 3 D 15
C 9 D 16
4. The graph of f ( x ) = 𝑥
3
– x is symmetric with respect to which of the following?
A the x -axis B the y -axis C the origin D the line y = x
5. Given the parent function p ( x ) = ⟦𝑥⟧ , what transformations occur in the graph of p ( x ) = 2
⟦𝑥 − 3⟧ + 4?
A vertical expansion, left 3 units, up 4 units
B vertical compression, down 3 units, left 4 units
C vertical expansion, right 3 units, up 4 units
D vertical compression, down 3 units, right 4 units
6. Choose the statement that is true for the graph of f ( x ) = 𝑥
3
– 12 x .
A f ( x ) increases for x > –2. C f ( x ) increases for x > 2.
A
B f ( x ) decreases for x > –2. Df ( x ) decreases for x < 2.
7. Which graph represents a function that has an inverse that is also a function?
B C D
Chapter 1
60
Glencoe Precalculus

NAME _____________________________________________ DATE ____________________________ PERIOD _____________
(continued)
(Chapter 1)
8. Which is true for the graph of f ( x ) = – 𝑥 3
+ 3 x
– 2?
A relative maximum of 0 at x = 1
B relative minimum of 0 at x = 1
C relative maximum of –4 at x = –1
D relative minimum of –2 at x = 0
9. If the graph of a relation is symmetric about the line y = x and the point ( a , – b ) is on the graph, which of the following must also be on the graph?
A (– a , b ) B ( b , – a ) C (– b , a ) D ( a , b )
10. Which type of discontinuity, if any, occurs at x = 4 for f ( x ) = 𝑥 2 𝑥 − 2
− 6𝑥 + 8
?
C infinite D none A jump B removable
11. Which function describes the graph?
A f ( x ) = | x | B f ( x ) = |2 x | C f ( x ) = | x
– 2|
D f ( x ) =
1
2
| x |
12. Which function is an even function?
A f ( x ) = 𝑥 3
– 3x C f ( x ) =
3 𝑥
B f ( x ) = √𝑥 − 2 D f ( x ) = 𝑥 4
– 3 𝑥 2
13. The height of a tennis ball thrown straight up into the air can be modeled by the function h ( t ) = –4.9
𝑡
2
+ 12 t + 1, where t is the time in seconds after release and h ( t ) is the height of the ball in meters. Find the average rate of change in meters per second from 0.5 to 1 second.
A 8.1 B 6.93
14. Evaluate g (4) for g ( x ) = {
2𝑥 − 1 if 𝑥 < 0 𝑥 2 if 0 ≤ 𝑥 ≤ 5.
√𝑥 if 𝑥 > 5
A 2 B 5
C 5.775
C 7 D 16
D 4.65