Question

determine whether rolle’s theorem applies to the function, if it does find all possible values of c as in the conclusion of the theorem

Answer 1

Given:

The function is,

$f(x)=-x^2+12x-10\text{ on \lbrack{}4,8\rbrack}$

Rolle's theorem states that,

First check the consitions of Rolle's theorem,

As the given function is continous on [4,8] and differntiable