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Precalculus · F-IF

End Behavior and Asymptotes of Rational Functions

Two things are proportional when their ratio never changes.

PrecalculusCommon Core HSF-IF.B.4F-IFVerified correct ✓

Worked examples

For f(x) = (-4x + 5) / (x), find the vertical asymptote. Enter the x-value.
Answer: 0

For f(x) = (−x + 1) / (2x − 2), find the horizontal asymptote. Enter the y-value.
Answer: -0.5

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Key Features of Rational Functions

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