Explain why Rolle\'s Theorem does not apply to the function even though there ex

Question

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(a) does not equal f(b) for all possible values of a and b in the interval [?, 3?].

f '(a) does not equal f '(b) for any values in the interval [?, 3?].

None of these.

There are points on the interval [a, b] where f is not continuous.

There are points on the interval (a, b) where f is not differentiable.     

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) = (2 - x2/3)3, [-1, 1] f(a) does not equal f(b) for all possible values of a and b in the interval [?, 3?]. f '(a) does not equal f '(b) for any values in the interval [?, 3?]. None of these. There are points on the interval [a, b] where f is not continuous. There are points on the interval (a, b) where f is not differentiable.

Explanation / Answer

There are points on the interval (a,b) where f is not differentiable. i.e at x=0

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