Unbounded Behavior

Definition

Unbounded behavior refers to the behavior of a function as the input approaches infinity or negative infinity. It describes how a function grows or decreases without any limit.

Related terms

Asymptote:

A line that a graph approaches but never touches. It can be horizontal, vertical, or slanted.

Infinite Limit:

When the limit of a function does not exist because it either approaches positive or negative infinity.

Divergence:

When a sequence or series does not approach a finite value but instead grows infinitely large or becomes infinitely small.