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MAT 109 Lecture 9: 5.2 Properties of Rational Functions Notes

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30 Aug 2016

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Barry University

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5. 2 properties of rational functions notes: sterling. Provide a generalization to each of the key terms listed in this section. Functions that are in the form of r (x) = p(x) q(x) where you both p(x) and q(x) are polynomial functions while only q(x) can"t be a zero polynomial, which means q (x) 6= 0. When looking for the domain, besides then q (x) 6= 0, would be all real numbers. If you have a rational function like r (x) = p(x) q(x) is its lowest form, then you will have r be having a vertical asymptote for each and every value of x for which q(x) = 0. 2 horizontal asymptote: a horizontal line that occurs when x is approaching either or , which would make f (x) approach l, can be written in one of two ways. F (x) l as x .

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