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AP Precalculus›Unit 1: Polynomial and Rational Functions›Polynomial and Rational Functions

End Behavior of Polynomial and Rational Functions

The leading terms decide what happens as x → ±∞: polynomials rise or fall, and rational functions level off or grow.

Leading-term behavior
Horizontal and slant asymptotes
Comparing degrees

Master this topicQuick session · about 23 min

Watch the top lessonThe Algebros Find a tutor

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7 videos ranked by how well they teach

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AP Precalculus – 1.7B Rational Functions and End Behavior

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Precalc · End Behavior of Polynomial and Rational Functions

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Precalc · End Behavior of Polynomial and Rational Functions

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1Polynomial and Rational Functions

Rates of Change
Polynomial Functions and Their Zeros
End Behavior of Polynomial and Rational Functions
Rational Functions and Asymptotes
Equivalent Representations and Long Division
Transformations of Functions
Function Model Selection

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Rational Functions and Asymptotes

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Best teachers for this topic

1Michael Porinchak - AP Statistics & AP Precalculus
2The Algebros
3Professor Leonard
4Maximum Insight

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Also called: end behavior