## Calculus 10th Edition

Published by Brooks Cole

# Chapter 3 - Differentiation - 3.2 Exercises: 31

#### Answer

The Mean Value Theorem does not apply to this function because this function is not continuous on the closed interval $[0, 6]$.

#### Work Step by Step

The Mean Value Theorem requires that a function must be continuous on the closed interval $[0, 6]$and differentiable on the open interval $(0, 6)$. This function does not satisfy the first condition because the function has a removable discontinuity (hole) at $x = 2$, which is in the interval $[0, 6]$. Therefore, the Mean Value Theorem does not apply to this function.

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