Discontinuity

Definition

A discontinuity occurs when there is a break or jump in the graph of a function, meaning that the function is not continuous at that point.

Related terms

Asymptote:

A line that a graph approaches but never touches.

Removable Discontinuity:

A type of discontinuity where the function has a hole at that point, but it can be filled to make the function continuous.

Jump Discontinuity:

A type of discontinuity where the function has two different values on either side of the point, causing a vertical jump in its graph.