Let
f:R→R be a function defined by :
f(x)={| max{t3−3t}; | x≤2 |
| t≤x |
| x2+2x−6; | 2<x<3 |
| [x−3]+9; | 3≤x≤5 |
| 2x+1; | x>5. |
where
[t] is the greatest integer less than or equal to
t . Let
m be the number of points where
f is not differentiable and
I=2f(x)dx . Then the ordered pair
(m,l) is equal to :