QJEEM23Mab544: JEE Main 2023 Mathematics - Class 12 JEEM23Mab544 Solution: Let f : ( − 2 , 2 ) → R be defined by f ( x ) = { x [ x ] , − 2 …

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When $[x]$ is denotes greatest integer function



Clearly, $|f(x)|$ remains same.

Given that, $m$ and $n$ respectively are the number points in $(-2,2)$ at which $y=|f(x)|$ is not continuous and not differentiable

So, $m=1$ where $y=|f(x)|$ not continuous

and $n=3$ where $|f(x)|$ is not differentiable.

Thus, $m+n=4$