# 3.6 Rational Functions

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Vertical asymptotes

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### 4 Terms

1

Vertical asymptotes

The line x=a is a _____ of the function y=f(x) if y approaches ±∞ as x approaches a from the right or left

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2

Horizontal asymptotes

The line y=a is a _________ of the function y=f(x) if y approaches b as x approaches ±∞.

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3

Hole

If the numerator and denominator have a common factor, then the graph is not defined at that point

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4

Slant asymptote

An asymptote in the form of y=mx+b

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