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Binghamton University: Graphing Rational Functions [Pdf]

For Students 9th - 10th Standards
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...
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New York University

Nyu: Courant Institute of Mathematical Sciences: Rational Functions [Pdf]

For Students 9th - 10th Standards
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.
Activity
Cool Math

Coolmath: Graphing Rational Functions Putting It All Together

For Students 9th - 10th Standards
A tutorial reviewing graphing rational functions.
Activity
Cool Math

Coolmath: Graphing Rational Functions X and Y Intercepts

For Students 6th - 8th Standards
Find out how to find the x and y-intercepts when graphing rational functions.
Activity
Cool Math

Coolmath: Graphing Rational Functions Vertical Asymptotes

For Students 6th - 8th
This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.
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Other

Franklin University: Rational Functions and Asymptotes [Pdf]

For Students 9th - 10th Standards
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...
Unit Plan
Sophia Learning

Sophia: Lio + Lola: Graphing Rational Functions

For Students 9th - 10th Standards
Graph rational functions using examples and step by step guide.
Activity
Texas Instruments

Texas Instruments: Graphing Rational Functions

For Teachers 9th - 10th Standards
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Graphing Rational Functions

For Students 9th - 10th Standards
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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Graph and compare inverse variation equations and rational functions.
Graphic
Paul Dawkins

Paul's Online Notes: Math Notes: Excluded Values in Rational Functions

For Students 9th - 10th Standards
A description and example of which values are excluded from the domain of a rational function.
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Other

Xaktly: Rational Functions

For Students 9th - 10th Standards
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...
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Rational Functions

For Students 9th - 10th
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...
Activity
Cool Math

Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited

For Students 9th - 10th Standards
Wrap up tutorials on graphing increasing and decreasing functions.
Graphic
Analyze Math

Analyze Math: Graphs of Rational Functions

For Students 9th - 10th Standards
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.
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Texas Instruments

Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions

For Teachers 9th - 10th
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
Primary
University of Saskatchewan (Canada)

University of Saskatchewan: Advanced Rational Function Problems

For Students 9th - 10th Standards
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.
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Moderate Rational Function Problems

For Students 9th - 10th Standards
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
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Other

Radford University: Rational Functions

For Students 9th - 10th Standards
This site from the Radford University provides a quick look at graphing rational functions, using a less rigorous approach that is done traditionally.
Unit Plan
Texas Education Agency

Texas Gateway: Transformations of Square Root and Rational Functions

For Students 9th - 10th Standards
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.
Activity
Other

Math notes.com: Rational Functions

For Students 9th - 10th
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
Activity
Cool Math

Coolmath: Intro to Rational Functions

For Students 9th - 10th Standards
An introductory tutorial to rational functions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Analysis of Rational Functions

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] Analyzing rational functions through manual graphing and technology
Activity
University of Saskatchewan (Canada)

University of Saskatchewan: Easy Rational Function Exercises

For Students 9th - 10th Standards
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.