Question

A function $f$ is defined on $[-3,3]$ as
$f\left(x\right)=\{\begin{array}{c}\text{min}\{|x|,2-x^2\},-2\le x\le 2\\ \left[|x|\right],2<|x|\le 3\end{array}$
where $\left[x\right]$ denotes the greatest integer $\le x$. The number of points, where $f$ is not differentiable in $(-3,3)$ is

Answer 1

From the above graph, Points of non-differentiability in $(-3,3)$ are at $x=\{-2,-1,0,1,2\}$.
i.e. $5$ points.