Paul Dawkins
Paul's Online Notes: Math Notes: Excluded Values in Rational Functions
A description and example of which values are excluded from the domain of a rational function.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphing Rational Functions
Fourteen problems present a variety of practice graphing rational functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
Richland Community College
Richland Community College: Steps to Graphing Rational Functions
This site describes the steps to follow when graphing a rational function.
Analyze Math
Analyze Math: Graphs of Rational Functions
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.
Other
Conejo Valley Unified School District: Rational Functions [Pdf]
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...
Khan Academy
Khan Academy: Rational Function Points of Discontinuity
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...
Purple Math
Purplemath: Slant (Oblique)l Asymptotes
The functions and graphs of functions with oblique asymptotes are explained with a step-by-step description of how to find oblique asymptotes and gives examples.
Purple Math
Purplemath: Vertical Asymptotes
This Purple Math lesson provides an explanation and examples on vertical asymptotes.
Purple Math
Purplemath: Asymptotes
This Purple Math lesson provides practice problems for finding various types of aysmptotes. Each problem is worked out and explained.
Purple Math
Purplemath: General Polynomials
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
Cool Math
Coolmath: Graphing Rational Functions Horizontal and Slant (Oblique) Asymptotes
This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Putting It All Together
A tutorial reviewing graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited
Wrap up tutorials on graphing increasing and decreasing functions.
Purple Math
Purplemath: Graphing Rational Functions: Introduction
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...
Khan Academy
Khan Academy: Algebra Ii: Analyze Vertical Asymptotes of Rational Functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: End Behavior of Rational Functions
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.
Other
Xaktly: Rational Functions
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...
Analyze Math
Analyze Math: Rational Functions (1)
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...
CK-12 Foundation
Ck 12: Algebra: Graphs of 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...
CK-12 Foundation
Ck 12: Algebra: Inverse Variation Problems
[Free Registration/Login may be required to access all resource tools.] Graph rational functions involving division and find all their asymptotes.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
CK-12 Foundation
Ck 12: Algebra: Horizontal and Vertical Asymptotes
[Free Registration/Login may be required to access all resource tools.] Find the horizontal and vertical asymptotes of rational functions.