A function f is defined on [-3,3] as f(x)= {min {|x|, 2-x^2}, -2 ≤ x ≤ 2; [|x|], 2<|x| ≤ 3} where [x] denotes the greatest integer ≤ x. The number of…

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