`f(x) = x^2 - 8x + 5, [2,6]` Determine whether Rolle’s Theorem can be applied to `f` on the closed interval `[a, b]`. If Rolle’s Theorem can be applied, find all values of `c` in the open interval.
1 Answer | Add Yours
Rolle's Theorem can be applied because the function f(x) is a continuous polynomial on the closed interval [2,6] and differentiable on the open interval (2,6)., and f(2)=f(6)=-7.
The value c=4 is within the interval [2,6].
We’ve answered 318,911 questions. We can answer yours, too.Ask a question