Learn how to determine if a function is continuous and differentiable

The video tutorial explains how to check the continuity of a graph, focusing on identifying holes in piecewise functions. It highlights that a function with a hole is not continuous and therefore not differentiable. The tutorial uses graphing examples to illustrate these concepts, emphasizing the relationship between continuity, limits, and differentiability.

Describe the relationship between limits and continuity in functions.

Why can a function that is not continuous also not be differentiable?