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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.
Texas Instruments
Texas Instruments: Rational Functions Asymptotes and Holes
These multiple-choice and fill-in-the-blank questions ask students to identify asymptotes, holes, and domain for rational functions.
Texas Instruments
Texas Instruments: Rational Functions
In this set of questions, students are asked to investigate rational functions to find vertical, horizontal, and oblique asymptotes as well as x- and y-intercepts. Questions are multiple choice and true/false with solutions provided.
Texas Instruments
Texas Instruments: Rational Functions
This TI InterActive! activity is an algebra test which examines the student's understanding of Rational Functions.
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits for Rational Functions
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
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.
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.
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...
Texas Education Agency
Texas Gateway: Transformations of Square Root and Rational Functions
Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.
Khan Academy
Khan Academy: Analyze Vertical Asymptotes of Rational Functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
Sophia Learning
Sophia: Lio + Lola: Graphing Rational Functions
Graph rational functions using examples and step by step guide.
Oregon State University
Oregon State University: Rational Functions
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.
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.
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
CK-12 Foundation
Ck 12: Analysis: Rational Function Limits
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
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...
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