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.
Unknown Type
Khan Academy

Khan Academy: Algebra Ii: Graphs of Rational Functions

For Students 9th - 10th Standards
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.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Graphs of Rational Functions

For Students 9th - 10th Standards
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.
Unit Plan
Oregon State University

Oregon State University: Rational Functions

For Students 11th - 12th Standards
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.
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.
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.
Activity
Analyze Math

Analyze Math: Rational Functions (1)

For Students 9th - 10th Standards
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...
Activity
Other

Rational and Radical Functions

For Students 9th - 10th Standards
A look into the graphs of rational and radical 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.
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...
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Khan Academy

Khan Academy: Algebra Ii: End Behavior of Rational Functions

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

Coolmath: Rational Functions the Whole Thing

For Students 10th - 12th Standards
Explanation and examples of 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
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.
Unknown Type
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.
Unit Plan
Oregon State University

Oregon State University: Review of Rational Functions

For Students 11th - 12th Standards
This lesson on rational functions has a section on finding the domain which includes an example problem.
Website
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
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.
Website
Other

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...
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...
Website
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...
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.
Website
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.
Handout
California State University

California State University: Domain and X Intercepts in Rational Functions

For Students 9th - 10th Standards
Description of the nature of the domain in rational functions.