Problem

Let f have the graph shown. Select the correct answer. a. The average rate...

Let f have the graph shown.

Select the correct answer.

a. The average rate of change of f over the interval [0, 1] is

(A) greater than f ‘(0)

(B) less than f ‘(0)

(C) approximately equal to f ‘(0)

b. The average rate of change of f over the interval [0, 2] is

(A) greater than f ‘(1)

(B) less than f ‘(1)

(C) approximately equal to f ‘(1)

c. Over the interval [−2, 0] , the instantaneous rate of change of f is

(A) increasing

(B) decreasing

(C) neither increasing nor decreasing

d. Over the interval [−2, 2] , the instantaneous rate of change of f is

(A) increasing, then decreasing

(B) decreasing, then increasing

(C) approximately constant

e. When x = 0, f (x) is

(A) approximately 0 and increasing at a rate of about 1.5 units per unit of x

(B) approximately 0 and decreasing at a rate of about 1.5 units per unit of x

(C) approximately 1.5 and neither increasing nor decreasing

(D) approximately 0 and neither increasing nor decreasing

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