Vertical asymptote

Definition

A vertical asymptote is a vertical line that a graph approaches but never touches. It occurs when the function approaches infinity or negative infinity as x approaches a certain value.

Related terms

Horizontal asymptote: A horizontal line that a graph approaches as x approaches positive or negative infinity.

Limit:

The value that a function approaches as x gets arbitrarily close to a particular value.

Rational function: A function that can be expressed as the quotient of two polynomials.