# Chapter 4 - Review - True-False Quiz - Page 358: 8

False

#### Work Step by Step

Slope of line joining $(1,f(1))$ and $(3,f(3))$ is $\frac{f(3)-f(1)}{3-1}=\frac{0-(-2)}{2}=1$ According to mean value theorem, there is at least one value of $c∈(1,3)$ for which $f'(c)=1$ Hence, the given statement is false.

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