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# Functions and Their Graphs Practice Test

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By McGraw-Hill Professional
Updated on Oct 4, 2011

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## Functions and Their Graphs Practice Test

#### Problems

Problems 1-2 refer to the graph in Figure 3.26.

1. Find f (1).

(a) −1

(b) −2

(c) 1

(d) 2

Fig. 3.26 .

2. 2. Where is the function decreasing?

(a) (−∞, 0) ∪ (1, ∞)

(b) (0, −2)

(c) (0, 1)

(d) (1, ∞)

Problems 3-6 refer to the graph of f ( x ) in Figure 3.27.

Fig. 3.27 .

3. What is the domain?

(a) [0,2]

(b) [2,0]

(c) [−2,2]

(d) [−2,0]

4. What is the range?

(a) [0,2]

(b) [2,0]

(c) [−2,2]

(d) [−2,0]

5. What is the average rate of change of the function between x = − 2 and x = 1?

6. Is the graph in Figure 3.27 symmetric?

(a) Yes, with respect to the x -axis.

(b) Yes, with respect to the y -axis.

(c) Yes, with respect to the origin.

(d) No.

7. Find the average rate of change for between x = 0 and x = 2.

8. Is the function f ( x ) = 3 x 2 + 5 even, odd, or neither?

(a) Even

(b) Odd

(c) Neither

(d) Cannot be determined without the graph

9. Is the function f ( x ) = 3 x 3 + 5 even, odd, or neither?

(a) Even

(b) Odd

(c) Neither

(d) Cannot bedeterminedwithout the graph

10. Is the function f ( x ) = 4 x 2 / x 3 + x even, odd, or neither?

(a) Even

(b) Odd

(c) Neither

(d) Cannot be determined without the graph

#### Solutions

1. B
2. C
3. C
4. A
5. B
6. B
7. B
8. A
9. C
10. B

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