Here is a diagram about the types of discontinuity, from which there are 3 kinds of discontinuity, including removable, jump, and infinite discontinuity. Continuous functions are of utmost importance in mathematics, functions, and applications. However, not all functions are continuous. If a function is not continuous at a point in its domain, one says that it has a discontinuity there. Learn more details from this diagram, or try to make yours with ease!