Can u differentiate!!!

$f\left( x \right) =\int _{ -2 }^{ x } \left| x+1 \right|$

1. $f\left( x \right)$ is continuous in [-1,1]. {CORRECT :5 POINTS,WRONG:-1 POINTS}
2. $f\left( x \right)$ is differentiable in [-1,1].{CORRECT :7 POINTS,WRONG:-2 POINTS}
3. $f^{ | }\left( x \right)$ is continuous in [-1,1].{CORRECT :9 POINTS,WRONG:-3 POINTS}
4. $f^{ | }\left( x \right)$ is differentiable in [-1,1].{CORRECT :11 POINTS,WRONG:-4 POINTS}

. CALCULATE THE SUM OF POINTS . PLEASE POST THE DETAILED SOLUTION(I DON'T KNOW THE CORRECT EXPLANATION) . THIS IS NOT ORIGINAL