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Consider the following function. f(x)=4-2/3 Find f(-8) and (8). F-8) = F(8)= == Find all values c in (-8, 8) such that f'(c) =
Consider the following function. f(x)=4-2/3 Find f(-8) and (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? = O 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). O This does not contradict Rolle's Theorem, since f'(0) = 0, and 0 is in the interval (-8, 8). O This contradicts Rolle's Theorem, since f(-8) = f(8), there should exist a number c in (-8, 8) such that f'(c) = 0. O This does not condict Rolle's Theorem, since F'(0) does not exist, and so f is not differentiable on (-8.8). O Nothing can be concluded.
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