1 Standardized Test Practice

advertisement

NAME _____________________________________________ DATE ____________________________ PERIOD _____________

1 Standardized Test Practice

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 _____________

1 Standardized Test Practice

(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

Download