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.
![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")
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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.
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.
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: 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: 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...
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...
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...
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.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Rational Functions
Here is a site that clearly and thoroughly explains how to find the roots of polynomials of degree greater than two. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
Other
Math notes.com: Rational Functions
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
Analyze Math
Analyze Math: Rational Expressions
Learners are introduced to the Pre-Calculus topic of rational expressions. The tutorial consists of a definition, examples, and finding the domain of rational expression. The activity includes practice exercises with detailed solutions.
Analyze Math
Analyze Math: One to One Functions
Learners examine one to one functions. The tutorial defines one to one functions, rational functions, and mapping. The activity includes examples with detailed solutions.
Free Math Help
Free Math Help: Adding and Subtracting Rational Functions
Students learn how to add and subtract rational functions. The lesson consists of definitions, examples, and additional resources.
Free Math Help
Free Math Help: Division of Rational Functions
The discussion examines dividing rational functions. Learners explore the math concept through a definition and sample exercise.
Khan Academy
Khan Academy: Algebra I: Find Inverse Functions
Practice finding the formula of the inverse function of a given polynomial, radical, or rational function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
University of Saskatchewan (Canada)
University of Saskatchewan: Exponential and Logarithmic Functions
The University of Saskatchewan's Department of Mathematics and Statistics provides high school students with online tutorials and exercises on what they deem some of the most important topics in exponential and logarithmic functions....
Other
Nearpod: Rational Functions: Asymptotes & Graphing
In this lesson, students will learn how to find holes, vertical asymptotes, and horizontal asymptotes graphically and algebraically.
Khan Academy
Khan: Lsn 12: Exponential Functions, Equations, Expressions and Radicals
Lesson 2 of 4 for Passport to Advanced Math. Students will build quadratic and exponential functions that model a given context; solve radical equations; work with rational expressions, including fractions with a variable in the...
Khan Academy
Khan Academy: Intro to Adding & Subtracting Rational Expressions
Learn how to add or subtract two rational expressions into a single expression.
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...