X Approaches Infinity

Definition

When we say "x approaches infinity," it means that we are observing how the behavior of a function changes as x gets larger and larger without bound.

Related terms

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

Vertical Asymptote: A vertical asymptote is a vertical line that a function gets arbitrarily close to as x approaches a particular value.

End Behavior: The end behavior of a function describes what happens to the values of y as x approaches positive or negative infinity.