15 and 16 Find the number c that satisfies the conclusion of the Mean Value Theorem on the C given interval. Graph the function, the secant line through the endpoints, and the tangent line at (c, f(c). Are the secant line and the tangent line parallel? 15. f (x) , 0, 4]

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A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

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A: f(x) = x3-2 f(0) = -2 f(2) = 6 Mean slope = {f(2) - f(0)}/(2-0) = (6-(-2))/2 = 4