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...
Other
Radford University: Rational Functions
This site from the Radford University provides a quick look at graphing rational functions, using a less rigorous approach that is done traditionally.
California State University
California State University: Domain and X Intercepts in Rational Functions
Description of the nature of the domain in rational functions.
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.
Oregon State University
Oregon State University: Review of Rational Functions
This lesson on rational functions has a section on finding the domain which includes an example problem.
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...
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...
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...
Texas Instruments
Texas Instruments: Rational Addition, Subtraction
This StudyCard stack covers adding (or subtracting) numerators with simple to complex denominators. The set ends with sums or differences of rational functions with different denominators.
Curated OER
Zona Land: Definition of a Rational Function
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
CK-12 Foundation
Ck 12: Analysis: Analysis of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Analyzing rational functions through manual graphing and technology
Other
Math notes.com: Rational Functions
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
Math Notes and Math Tests
Pre Calculus Notes: Rational Functions [Pdf]
Students explore rational functions. Vertical asymptotes, horizontal asymptotes, slant asymptotes, and the zeros of a function are examined.
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.
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...
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Khan Academy
Khan Academy: Algebra Ii: Graphs of Rational Functions
Determine which of four graphs fits the formula of a given function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Cool Math
Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited
Wrap up tutorials on graphing increasing and decreasing functions.
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.
William Mueller
William Mueller: Families of Functions
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
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