key term - Approaches Infinity

Definition

When we say that x "approaches infinity," it means that x gets larger and larger without bound. As x becomes extremely large, we analyze how the behavior of the function changes.

Related terms

Asymptote:

An asymptote is a line that a graph gets closer and closer to, but never touches or crosses.

Divergence:

Divergence occurs when the output of a function becomes infinitely large or does not approach any specific value as the input approaches a certain point.

Horizontal Asymptote: A horizontal asymptote is a horizontal line that a function approaches as x goes towards positive or negative infinity.