Is a graph continuous if it has a cusp? I believe that a graph is not differentiable at a cusp. If a graph is not differentiable at a point then it is not continuous.
Is a graph continuous if it has a cusp? I believe that a graph is not differentiable at a cusp. If a graph is not differentiable at a point then it is not continuous.
Definitions do vary.
But I think that it is generally agreed that graphs are continuous at cusps.