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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.
Activity
Cool Math

Coolmath: Graphing Rational Functions Horizontal and Slant (Oblique) Asymptotes

For Students 7th - 9th Standards
This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.
Handout
Purple Math

Purplemath: Graphing Rational Functions: Introduction

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

University of Saskatchewan: Graphing Rational Functions

For Students 9th - 10th Standards
Offers a straightforward introduction to graphing rational functions. Includes an example.
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.
Handout
Richland Community College

Richland Community College: Steps to Graphing Rational Functions

For Students 9th - 10th Standards
This site describes the steps to follow when graphing a rational function.
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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.
Unit Plan
Paul Dawkins

Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions

For Students 9th - 10th
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if Graphing Rational Functions

For Teachers 9th - 10th Standards
In this task, students interact with a Desmos app by moving sliders and making observations about features of the graphs and the structures of the expressions of the functions. Aligns with F-IF.C.7.d.
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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.
Handout
CK-12 Foundation

Ck 12: Algebra: Graphs of Rational Functions Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to understand graphs of rational functions. Examples are included.
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.
Handout
Richland Community College

Richland Community College: Rational Functions and Asymptotes

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

Coolmath: Rational Functions the Whole Thing

For Students 10th - 12th Standards
Explanation and examples of rational functions.
Handout
Cool Math

Coolmath: Review What Are Rational Functions?

For Students 10th - 12th Standards
One page reference sheet of a quick recall of rational functions.
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.