Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 2 of 100

Marks: +1, -0

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 the number of points in (−2,2) at which y=|f(x)| is not continuous and not differentiable, then m+n is equal to _______.

[10-Apr-2023 shift 1]

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−2x	‌	−2<x<−1
−x	‌	−1≤x<0
0	‌	0≤x<1
x−1	‌	1≤x<2

−2	−2<x<−1
−1	−1<x<0
0	0<x<1
−1	1<x<2