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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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