In Exercises determine whether Rolle's Theorem can be applied to on the closed interval [a, b].

In Exercises determine whether Rolle's Theorem can be applied to ƒ on the closed interval [a, b]. If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that ƒ'(c) = 0. If Rolle's Theorem cannot be applied, explain why not.

 

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f(x) = (x-2)(x + 3)², [-3,2]