Discuss the applicability of Rolle's theorem on the function

`f(x)={x^2+1`, when `0 le x le 1`
` \ \ \ \ \ \ \ \ \ \ \ \ \{3-x` , when `1lt x le 2`

Explanation

To discuss the applicability of Rolle's theorem on the given piecewise function

\[
f(x) =
\begin{cases}
x^2 + 1 & \text{when } 0 \leq x \leq 1 \\
3 - x & \text{when } 1 < x \leq 2
\end{cases}
...