Discontinuities

Definition

Discontinuities occur when there are breaks or interruptions in the graph of a function, resulting in undefined or non-existent values at certain points.

Related terms

Removable Discontinuity:

A removable discontinuity occurs when there is an open hole or gap in the graph that can be filled by redefining or removing that specific point.

Jump Discontinuity:

A jump discontinuity happens when there are two distinct parts of a graph separated by an open space, creating an abrupt change from one part to another.

Infinite Discontinuity:

An infinite discontinuity occurs when there are vertical asymptotes present in the graph, causing unbounded behavior as x approaches certain values.