Let f:(-2,2) → R be defined by f(x)= {x[x],-2<x<0; (x-1)[x], 0 ≤ x<2} where [x] denotes the greatest integer function. If m and n respectively are…

Let $\displaystyle f:(-2,2) \rightarrow \mathbb{R}$ be defined by $$f(x)= \begin{cases}x[x] & ,-2<x<0 \\ (x-1)[x] & , 0 \leq x<2\end{cases} $$ where $\displaystyle [x]$ denotes the greatest integer function. If $\displaystyle m$ and $\displaystyle n$ respectively are the number of points in $\displaystyle (-2, 2)$ at which $\displaystyle y=|f(x)|$ is not continuous and not differentiable, then $\displaystyle m+n$ is equal to $\displaystyle \_\_\_\_$.