Answer
We can't apply the theorem because $f(a)\neq f(b)$
Work Step by Step
Rolle's Theorem
Let $f$ be continuous on the closed interval $[a, b]$ and differentiable on the open interval $(a, b)$ .
If $f(a)=f(b)$ , then there is at least one number $c$ in $(a, b)$ such that $f^{\prime}(c)=0.$
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f is continuous and differentiable on the wanted intervals.
Is $f(a)=f(b)?$
$f(0)=-7$
$f(4)=25$
No.
The premise of the theorem is not satisfied,
so we can't use its conclusion.
We can't apply the theorem because $f(a)\neq f(b)$
