Math Medics
S.o.s. Math: Integration of Rational Functions
Good lesson explaining integration of rational functions in calculus. Also includes a link to partial functions.
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.
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
![Binghamton University: Graphing Rational Functions [Pdf] Website](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Binghamton University: Graphing Rational Functions [Pdf] Website")
Other
Binghamton University: Graphing Rational Functions [Pdf]
This site is a 16-page excerpt from a textbook that discusses the topic of graphing rational functions. The book includes numerous worked out examples. Topics that are covered include the domain of a rational function, zeroes of a...
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.
Richland Community College
Richland Community College: Rational Functions and Asymptotes
This site contains basic information on rational functions. Gives definition, how to find domain and roots, and how rational functions apply to asymptotes and holes in the graph.
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...
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
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.
Wolfram Research
Wolfram Math World: Rational Function
This site provides formulas and definitions as well as related links to rational functions.
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...
University of Saskatchewan (Canada)
University of Saskatchewan: Moderate Rational Function Problems
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
University of Saskatchewan (Canada)
University of Saskatchewan: Advanced Rational Function Problems
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.
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.
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...
Illustrative Mathematics
Illustrative Mathematics: F if 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.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Graphs of Rational Functions
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.
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...
Mathematics Archives
Math Archives: Visual Calculus: 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.
California State University
California State University: Domain and X Intercepts in Rational Functions
Description of the nature of the domain in rational functions.
University of Saskatchewan (Canada)
University of Saskatchewan: Easy Rational Function Exercises
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.