Consider the following function and closed interval.f(x) = x2/3- 3, [-8, 8]Is f continuous on...
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Consider the following function and closed interval.f(x) = x2/3- 3, [-8, 8]Is f continuous on the closed interval [-8, 8]?YesNoIf f is differentiable on the open interval (-8, 8), find f'(x). (If it is not differentiable on the open interval, enter DNE.)f'(x) =Find f(-8) and f(8).f(-8) =f(8) =Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)Yes, Rolle's Theorem can be applied.C =No, because f is not continuous on the closed interval [a, b].No, because f is not differentiable in the open interval (a, b).No, because f(a) = f(b).If Rolle's Theorem can be applied, find all values of in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
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