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please solve Graph of f ' Let f be a mction that has domain the closed interval [ I, 4] and range the closed interval

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please solve

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Graph of f ' Let f be a mction that has domain the closed interval [ I, 4] and range the closed interval [ l. 2]. Let f(-l)=~l, f(0)= 0, and f(4)=1. Also let f has the derivative function f' that is continuous and that has the graph shown in the gure above. (a) Find all values of x for which f assumes a relative maximum. Justify your anSWer. (b) Find all values of x for which f assumes its absolute minimum. Justify your answer. (c) Find the intervals on which f is concave dowuward. ((1) Give all values of x for which f has a point of inection. (e) Sketch the graph of f. 2. A function f 15 contmuous on the closed interval [ 3, 3] such that f (3) = 4 and f (3) = l. The functions f ' and f\" have the properties given in the table below. 3

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