and I know that the graph looks like this:

Where is this function non differentiable?I know that the absolute value function is non-differentiable at x=0, but what happens in this case at s=1,s=-1? is g differntiable there?
Copyright © 2021 JogjaFile Inc.

At $s=1$ the right hand derivative is $0$ and left hand derivative is $1$.
At $s=-1$ the right hand derivative is $-1$ and left hand derivative is $0$. So the function is not differentiable at these points.