key term - Discontinuous

Definition

A function is discontinuous at a point if it has a jump, hole, or vertical asymptote at that point.

Related terms

Jump Discontinuity:

A type of discontinuity where the function "jumps" from one value to another at a specific point.

Removable Discontinuity:

A type of discontinuity where there is a hole in the graph of the function at a specific point.

Vertical Asymptote: A type of discontinuity where the function approaches infinity (or negative infinity) as x approaches a certain value.