Rational Functions and Asymptotes

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Presentation transcript:

Rational Functions and Asymptotes PreCalculus 2-6

Rational Functions

Domain – The domain of a rational function consists of all real numbers, except those for which the denominator is zero Rational Functions

Rational Functions

Rational Functions

Rational Functions

Notation Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions

Rational Functions Graph the function Vertical asymptotes are x=1 and x=4 Horizontal asymptote at 3 Rational Functions

Rational Functions

Find the vertical and horizontal asymptotes of the function Vertical asymptotes are x=1/3 and x=2/3 Horizontal asymptote at y=1/9 Rational Functions

Rational Functions

Rational Functions

Page 148 – 151 7-12, 15, 18, 20, 25, 32, 33, 39 Homework