Let f have the graph shown.
Select the correct answer.
a. The average rate of change of f over the interval [0, 2] 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 [-1, 1] is
(A) greater than f’(0).
(B) less than f’(0).
(C) approximately equal to f’(0).
c. Over the interval [0, 2], 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 = 2, f (x) is
(A) approximately 1 and increasing at a rate of about 2.5 units per unit of x.
(B) approximately 1.2 and increasing at a rate of about 1 unit per unit of x.
(C) approximately 2.5 and increasing at a rate of about 0.5 units per unit of x.
(D) approximately 2.5 and increasing at a rate of about 2.5 units per unit of x.
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