Question

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

Answer 1

The Answer is : 4