Khan Academy: Algebra Ii: Graphing Rational Functions 2

Using this worksheet, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.

The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...

Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 

Extending his asymptotes lesson from the previous video, Sal shows viewers another example of graphing rational functions. This video is shorter than the previous one and could be shown in a single class session.

Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....

Graph logarithmic functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Video explains what asymptotes are and demonstrates how to determine the asymptotes of rational functions. Includes rules for horizontal asymptotes based on the highest power of the numerator and denominator of the rational function....

Graph exponential functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Learn how to find the quotient of two rational expressions.

Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive...