In simple words, we can say that a function is continuous at a point if we are able to graph it without lifting the pen so it is continous
But as graph contains sudden change in direction or break at x = 0 thus not differentiable.
Differentiable functions are those functions whose derivatives exist.
If a function is differentiable, then it is continuous. If a function is continuous, then it is not necessarily differentiable.
hope my answer helps u a lot