I need help with both please

Determine whether Rolle's theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = (x - 1)(x - 5)(x - 9), [1, 9] Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable on the open interval (a, b). No, because f(a) # f(b). If Rolle's theorem can be applied, find all values of c 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.) Submit Answer 4. DETAILS MY NOTES 0/2 Submissions Used Explain why Rolle's theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) F(x) = cot() [7, 37 ] There are points on the interval (a, b) where f is not differentiable. There are points on the interval [a, b] where f is not continuous. Of(a) does not equal f(b) for all possible values of a and b in the interval [7, 37]. Of'(a) does not equal f'(b) for any values in the interval [7, 37t]. None of these