Statistics Solutions

[See Solution] In each part, determine whether all of the hypotheses of the Mean-Value Theorem are satisfied on the stated interval. If not, state which

Question: In each part, determine whether all of the hypotheses of the Mean-Value Theorem are satisfied on the stated interval. If not, state which hypotheses fail; if so, find all values of $c$ guaranteed in the conclusion of the theorem.

$f(x)=|x-1|$ on $[-2,2]$
$f(x)=\frac{x+1}{x-1}$ on [2,3]
$f(x)=\left\{\begin{array}{ll}3-x^{2} & \text { if } x \leq 1 \\ 2 / x & \text { if } x>1\end{array}\right.$

on [0,2]

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[See Solution] In each part, determine whether all of the hypotheses of the Mean-Value Theorem are satisfied on the stated interval. If not, state which

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