Differentaibility Check of a Function

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I have this function: enter image description here

and I know that the graph looks like this: enter image description here

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?

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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.