Sketch the graph of a function that satisfies all of the given conditions. f'(0) = f'(4) =

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Sketch the graph of a function that satisfies all of the given conditions.

f'(0) = f'(4) = 0, f'(x) = 1 if x< -1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if –1<x <0 or 2 < x< 4 or x > 4, lim f'(x) =

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