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Question
\[f\left( x \right) = \begin{cases}- 4x + 5, & 0 \leq x \leq 1 \\ 2x - 3, & 1 < x \leq 2\end{cases}\] Discuss the applicability of Rolle's theorem for the following function on the indicated intervals ?
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Solution
The given function is
At x = 0, we have
Hence, Rolle's theorem is not applicable for the given function.
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