Asymptote Teacher Resources

This lesson explains how to determine the slant asymptotes of a given rational function.

This site, created by a math professor at Texas A & M University provides notes about and defines different types of asymptotes.

On this site students explore the concept of rational functions. The site begins by looking at the parent function for all rational functions, which is a hyperbola. The other topics that are covered on the tutorial include horizontal...

Use this tutorial to learn how to graph rational functions. Sample problems will guide you through finding the domain and asymptotes, and graphing the function on a coordinate plane.

In this unit you will learn to calculate the limits of a function and the equations of the vertical, horizontal and oblique asymptotes from its graph.

To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then sketch in the graph. Once you get the swing of things, rational functions are actually fairly simple to graph. This resources provides...

A set of more difficult exercises on rational functions, complete with solutions. Asks for students to find the asymptotes of the equations given and to sketch the function.

Students explore the graph of a rational function given by its formula. The tutorial examines vertical and horizontal asymptotes. The activity consists of examples with solutions.

[Free Registration/Login may be required to access all resource tools.] Graph rational functions involving division and find all their asymptotes.

Definition and pictoral example for what an asymptote is.

This site from MathWorld provides a picture, or diagram of the asymptotes along with a very brief, one sentence definition. Links are provided for related subjects, along with a short bibliography.

[Free Registration/Login may be required to access all resource tools.] Solve circuitry problems that involve rational functions.

A video lesson that goes through four example problems dealing with conic sections. Topics covered include: finding the vertex of a parabola from its equation; finding the asymptotes of a hyperbola and then sketching its graph;...

An instructional video in which a specific hyperbola equation is given. The lesson shows students how to find the asymptotes and sketch a graph. Includes a link to practice problems above the video. [7:29]

An instructional video that teaches students how to graph a hyperbola that is not centered at the origin. The equation is given in standard form, the asymptotes are determined, and the graph is sketched. Includes a link to practice...

This site uses an interactive LiveMath Notebook example to explain Horizontal Asymptotes. LiveMath Notebook may be downloaded for a free trial period to view these examples.

A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.

Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.

In this set of questions, students are asked to investigate rational functions to find vertical, horizontal, and oblique asymptotes as well as x- and y-intercepts. Questions are multiple choice and true/false with solutions provided.

This site provides a detailed explanation of rational functions by looking at numerous examples. Topics that are covered include domain, horizontal asymptotes, vertical asymptotes and graphing rational functions.

Explains what rational functions are and their features. Describes transformations of rational functions, discontinuities for different types, and gives examples of how to solve problems involving discontinuities. Also discusses the...

Students explore the properties and graphs of rational functions. The tutorial examines the equations of rational functions, intercepts, vertical asymptote, and horizontal asymptotes. The activity consists of examples with detailed...

Explore hyperbolas and what the asymptotes of hyperbolas are. Follow instructions to graph hyperbolas.

Students learn about infinite limits. A definition and examples with solutions are used to examine vertical asymptotes.