The graph of the derivative f \' of a continuous function f is shown below. (a)

ID: 2851220 • Letter: T

Question

The graph of the derivative f ' of a continuous function f is shown below.

(a) On what interval(s) is f increasing? (Select all that apply.)

(0, 1) (0, 2) (1, 6) (5, 7) (6, 8) (7, 9) (8, 9) none of these

On what interval(s) is f decreasing? (Select all that apply.)

(0, 1) (0, 2) (1, 6) (2, 3) (3, 5) (5, 7) (6, 8) (7, 9) (8, 9) none of these

(b) At what value(s) of x does f have a local maximum? (Select all that apply.)

0 1 2 3 5 6 7 8 none of these

At what value(s) of x does f have a local minimum? (Select all that apply.)

0 1 2 3 5 6 7 8 none of these

(0, 2) (1, 6) (2, 3) (3, 5) (5, 7) (6, 8) (7, 9) none of these

On what interval(s) is f concave downward? (Select all that apply.)

(0, 1) (0, 2) (1, 6) (2, 3) (3, 5) (5, 7) (6, 8) (7, 9) (8, 9) none of these

(d) What are the x-coordinate(s) of the inflection point(s) of f? (Select all that apply.)

0 1 2 3 5 6 7 8 none of these

1) (1,6) and( 8,9)

2) (0,1) (6,8)

3) 2, 5 and 9

4) 0 , 3 and 7

5) (2, 3) (3, 5) (5, 7) and (7, 9)

6) (0,2)

7) 2

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