Rational Functions - Finding Vertical Asymptotes: SMART Board Resource for Algebra 2 (Grades 6-12) (eLesson Plan)
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...
Once the original function has been factored, the denominator roots will equal our vertical asymptotes and the numerator roots will equal our x-axis intercepts. This means that when the denominator equals zero we have found a vertical asymptote. So, for what values of x will the function's ...
In this lesson, we will see how to find slant asymptotes using either long division or synthetic division.View Video Only Save Timeline Video Quiz Course 16K views Slant Asymptote Rules Vertical and horizontal asymptotes can occur in a variety of different types of functions. However, slant...