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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.



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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.