Behavior of a Function

Definition

The behavior of a function refers to how it acts or changes as its input values change. It includes information about whether it increases, decreases, approaches specific values, or has any special characteristics like asymptotes.

Related terms

Asymptote:

An asymptote is an imaginary line that describes how closely a curve gets to another line without actually touching it.

Extrema:

Extrema refer to points on a graph where there are local maximums (highest points) or minimums (lowest points).

Discontinuity:

Discontinuity occurs when there is a break or jump in the graph of a function, indicating that the function does not exist or has a sudden change in behavior at that point.