Remember that an asymptote is a line that the graph of a function approaches but never touches. Rational functions contain asymptotes, as seen in this example:In this example, there is a vertical asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes ...
An asymptote is a line that the graph of a function approaches but never touches. Rational functions contain asymptotes, as seen in this example: In this example, there is a vertical asymptote at x = 3 and a horizontal asymptote at y = 1. The curves approach these asymptotes but never cr...
Rational Functions - Finding Vertical Asymptotes: SMART Board Resource for Algebra 2 (Grades 6-12) (eLesson Plan)
However, slant asymptotes most commonly appear for two types of functions. The first type of function is a rational function, of the form {eq}\frac{f(x)}{g(x)} {/eq}, where {eq}f(x) {/eq} and {eq}g(x) {/eq} are both polynomials, and the degree of {eq}f(x) {/eq} ...
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Home > Math > Calculus > Finding Slant Asymptotes of Rational FunctionsFinding Slant Asymptotes of Rational Functions A slant (oblique) asymptote occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator....