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2.6 Section 2.6
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Rational Functions and Asymptotes
A rational function is a function written in the form of a polynomial divided by a polynomial. Domain: is the x-values Remember you cannot have a zero in the denominator of a fraction
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Rational Functions and Asymptotes
Vertical Asymptotes: To find the vertical asymptotes set the denominator equal to zero and solve for x. Horizontal Asymptotes: To find the horizontal asymptotes compare the degree of the numerator to the degree of the denominator.
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Rational Functions and Asymptotes
Horizontal Asymptotes: If the degree of the numerator is bigger than the degree of the denominator, then there is not a horizontal asymptote. If the degree of the numerator and the degree of the denominator are the same, then the horizontal asymptote is y = leading coefficient over leading coefficient.
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Rational Functions and Asymptotes
Horizontal Asymptotes If the degree of the denominator is bigger than the degree of the numerator, then the horizontal asymptote is y = 0 Asymptotes are equations: Vertical Asymptotes are x = # Horizontal Asymptotes are y = #
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