Knowing a basic understanding of intercept points and how a graph behaves at an asymptote, students can determine the general shape of a rational function by applying the process of elimination. To determine a valid graph, it is necessary to begin at a vertical asymptote and determine how the curve needs to turn in order to connect up to a data point. The purpose of this worksheet is to reinforce the concept of finding a solution by eliminating possibilities, instead of generating remarkably accurate graphs. By knowing these basic principles, a student can begin to learn how to graph a rational function without the aid of a graphing calculator.
This download contains 24 different assignments of various rational plots, which have been configured to help with testing purposes. Plots can contain one vertical asymptote, two vertical asymptotes, or a horizontal asymptote. Some plots may have more than one solution, which is due to the multiplicity of the roots.
Additional material is available if you feel that this resource will enhance your lessons. Let me know if you have any comments or suggestions on how to make this worksheet better. Thanks for taking a look!!