Consider the following function.f(x) = 4x^2/3Find f(-8) and f(8).f(-8)f(8) =Find all values c in (-8,...
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Calculus
Consider the following function.f(x) = 4x^2/3Find f(-8) and f(8).f(-8)f(8) =Find all values c in (-8, 8) such that f'(c) = 0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)C =Based off of this information, what conclusions can be made about Rolle's Theorem?This contradicts Rolle's Theorem, since f is differentiable, f(-8) = f(8), and f'(c) = 0 exists, but c is not in (-8, 8).This does not contradict Rolle's Theorem, since f'(0) = 0, and 0 is in the interval (-8, 8).This contradicts Rolle's Theorem, since f(-8) = f(8), there should exist a number c in (-8, 8) such that f'(c) = 0.This does not condict Rolle's Theorem, since f'(0) does not exist, and so f is not differentiable on (-88).Nothing can be concluded.
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