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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