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
C
3
D
15
3.
What is the zero of
f
(
x
) = 3 4
x
– 12?
A
–16
B
–12
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. 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?
A 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
) 𝑥 − 2
10.
Which type of discontinuity, if any, occurs at
x
= 4 for
f
(
x
) = 𝑥 2 − 6𝑥 + 8 ?
A
jump
B
removable
11.
Which function describes the graph?
C
infinite
D
none 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