Consider the following function and closed interval. f(x) = x- 4x - 16x + 5, [-4, 4] Is f continuous on the closed interval [-4, 4]? Yes No If f is differentiable on the open interval (-4, 4), find f'(x). (If it is not differentiable on the open interval, enter DNE.) f'(x) = 3x- 8x-16 Find f(-4) and f(4). (If an answer does not exist, enter DNE.) f(-4) f(4) = = -62 -107 Determine whether Rolle's theorem can be applied to f on the closed interval [-4, 4]. (Select all that apply.) Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [-4, 4]. No, because f is not differentiable on the open interval (-4, 4).