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.
