Question: The derivative of a function fis defined by f'(x) = g(x) for 4 x 0 15e-x/3-3 for 0 < x < 4 The graph

The derivative of a function fis defined by f'(x) = g(x) for

The derivative of a function fis defined by f'(x) = g(x) for 4 x 0 15e-x/3-3 for 0 < x < 4 The graph of the continuous function f', shown in the figure below, has x-intercepts at 3 In (3). The graph of g on -4 x 0 is a semicircle, and f(0) = 5. x = -2 and x = 0 Graph of f' For -4 < x < 4, find all values of x at which the graph of fhas a point of inflection. Justify your answer. (a) (b) (c) Find f(-4) and f(4). For 4x4, find the value at which fhas an absolute maximum Justify your answer.

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