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horizontal asymptote

Definition

This term refers to a horizontal line that a graph approaches but never crosses as x goes towards positive or negative infinity.

Related terms

End behavior: The behavior of a function as x approaches positive or negative infinity.

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

Exponential growth/decay: Functions that increase (growth) or decrease (decay) rapidly over time.

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