Dr. Eaton begins this lesson Graphing Rational Functions with an overview of rational functions and their restrictions. Then she moves into breaks in continuities with excluded values before covering graphs and discontinuities. Lastly she will go over horizontal asymptotes with plenty of examples. Four examples at the end highlight important points that you should remember.
If the numerator and denominator have a common binomial factor, the graph will have a hole at the point where this factor is 0. If the denominator has a binomial factor that is not in the numerator, the graph will have a vertical asymptote at the point where this factor is 0.
The graph of a rational function often has a horizontal asymptote.
Graphing Rational Functions
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.