4. [-/6 Points] DETAILS SCALCET8 4.2.009. Consider the following function. F(x) = 4- x2/3 Find 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? 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). 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 contradict Rolle's Theorem, since f'(0) does not exist, and so f is not differentiable on (-8, 8). Nothing can be concluded