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.

Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.

This site provides formulas and definitions as well as related links to rational functions.

[Free Registration/Login may be required to access all resource tools.] Learn about the shapes and characteristics of graphs of rational functions. Students examine guided notes, review guided practice, watch instructional videos and...

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.

Given the formula of a rational function, determine how it behaves around its vertical asymptote.

Graph rational functions using examples and step by step guide.

A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.

A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..

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.

Offers a straightforward introduction to graphing rational functions. Includes an example.

[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...

Given a rational function, determine how it behaves as x approaches. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...

A tutorial reviewing graphing rational functions.

An introductory tutorial to rational functions.

Find out how to find the x and y-intercepts when graphing rational functions.

This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.

This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.

In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.

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...

This site from the Radford University provides a quick look at graphing rational functions, using a less rigorous approach that is done traditionally.

Description of the nature of the domain in rational functions.

An explanation of what comprises the domain of a rational function. The information is brief, but formulas and examples are given along with additional links.