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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