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.
Texas Education Agency
Texas Gateway: Rational Functions: Predicting the Effects of Parameter Changes
Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.
Cuemath
Cuemath: Rational Function
A comprehensive guide for learning all about rational functions with definitions, how to plot them, solved examples, and practice questions.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Polynomial and Rational Functions
Hotmath provides 20 practice problems that relate to polynomial and rational functions. Each of the practice problems include a step-by-step guide for solving.
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.
Cool Math
Coolmath: Rational Functions Increasing and Decreasing Revisited
Explanation, examples, and independent practice of rational functions that increase and decrease.
Cool Math
Coolmath: Rational Functions Horizontal Asymptotes (And Slants)
This CoolMath resource provides information about horizontal asymptotes, a type of rational function.
Cool Math
Coolmath: Rational Functions Vertical Asymptotes
This CoolMath Resource provides and introduction to vertical asymptotes, a type of rational function.
Cool Math
Coolmath: Rational Functions Intercepts
This CoolMath resource will help students understand intercepts, a rational function.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Graph and compare inverse variation equations and rational functions.
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions Study Guide
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
Cool Math
Coolmath: Rational Functions the Whole Thing
Explanation and examples of rational functions.
Cool Math
Coolmath: Review What Are Rational Functions?
One page reference sheet of a quick recall of rational functions.
New York University
Nyu: Courant Institute of Mathematical Sciences: Rational Functions [Pdf]
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.
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.
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...
Other
Franklin University: Rational Functions and Asymptotes [Pdf]
This site provides an introduction to rational functions. Topics that are included are finding the domain of a rational function, finding the horizontal and vertical asymptotes and graphing rational functions. There are many worked out...
Texas Instruments
Texas Instruments: Rational Functions and Their Asymptotes
In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.
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...
Richland Community College
Richland Community College: Steps to Graphing Rational Functions
This site describes the steps to follow when graphing a rational function.
Texas Instruments
Texas Instruments: Behaviors Rational Functions
This StudyCard set teaches and tests on the rational function. Shows connection between the function parameters and the resulting geometric behaviors of the rational function. Use with Foundations for College Mathematics, ch. 7.1.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rational Functions
Eighteen problems present a variety of problems working with various aspects of 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...
Texas Instruments
Texas Instruments: Evaluating Rational Functions
In this activity, students study the asymptotic behavior of rational functions. They explore the two types of asymptotes and make generalizations as to when they do or do not occur.
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