MAC1105 Lecture Notes - Lecture 20: Asymptote
25 Feb 2017
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5. 4 properties of rational functions notes: sterling. Provide a generalization to the terms listed in this section. Rational functions: rational functions are functions that are in the common form of r (x) = p(x) q(x) , which shows where both p(x) and q(x) are polynomial functions while it"s only q(x) can"t be a zero polynomial. Rational functions examples f (x) = g (x) = . R (x) = p (x) q (x) anxn + + a1x + a0 bmxm + + b1x + b0. What is q(x)"s degree is greater than p(x)"s degree: this occurs when the denominator"s degree is larger than the numerator"s degree, m > n, horizontal asymptote: y = 0. What is q(x)"s degree is less than p(x)"s degree: this occurs when the numerator"s degree is larger than the denominator"s degree, m < n, horizontal asymptote: n one.
