Question: Let f(x) be a function that is differentiable on the entire real line. If f(-8)=-2 and f(9)=7, we can guarantee that there is a point

Let f(x) be a function that is differentiable on the entire real line. If f(-8)=-2 and f(9)=7, we can guarantee that there is a point c in the interval (-8,9) such that

f(c)= .

We know that such a point exists by the

Squeeze Theorem
Mean Value Theorem
Intermediate Value Theorem

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