Question
Mathematics Question on Continuity and differentiability
Let [x] denote the greatest integer function and f(x) = max{1+x+[x], 2+x, x+2[x]}, 0 ≤ x ≤2. Let m be the number of points in [0, 2], where f is not continuous and n be the number of points in (0, 2), where f is not differentiable. Then (m+n)² + 2 is equal to 2
A
2
B
3
C
6
D
11
Answer
3
Explanation
Solution
The correct option is(B): 3