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(1 point) For the graph of f(x) shown below, sketch two functions F with F'(x) = f(x). In one let F(0) = 0; in the

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(1 point) For the graph of f(x) shown below, sketch two functions F with F'(x) = f(x). In one let F(0) = 0; in the other, let F(0) = 1. Mark x1, x2 and x3 on the x-axis of your graph. Identify local maxima, minima and inflection points of F(x). X2 (a) At which point (out of (X1, *2 or x3) does F(x) achieve its largest value? ? v (b) At which point (out of (X1, X2 or x3) does F(x) achieve its smallest value? ? For the following questions, consider only the interior points on the domain on which f(x) is shown. (c) How many critical points does F(x) have? ? (d) How many local maxima does F(x) have? ? (e) How many local minima does F(x) have

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