Show that the function `f` defined as follows `f(x)={(3x-2 ,, 0ltxle1),(2x^2-x ,, 1ltxle2),(5x-4 ,, xgt2):}` is continuous at x=2 but not differentiable.

Explanation

To show that the function \( f \) defined as

\[
f(x) =
\begin{cases}
3x - 2 & \text{if } 0 < x \leq 1 \\
2x^2 - x & \text{if } 1 < x \leq 2 \\
5x - 4 & \text{if } x > 2
...