Functions and Their Graphs Practice Test

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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