Free Math Help
Free Math Help: Finding Horizontal Asymptotes
The lesson explains how to find horizontal asymptotes. An explanation and examples are included.
![Franklin University: Rational Functions and Asymptotes [Pdf] Website](https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png "Franklin University: Rational Functions and Asymptotes [Pdf] Website")
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Franklin University: Rational Functions and Asymptotes [Pdf]
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...
Richland Community College
Richland Community College: Rational Functions and Asymptotes
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.
Other
Nearpod: Rational Functions: Asymptotes & Graphing
In this lesson plan, students will learn how to find holes, vertical asymptotes, and horizontal asymptotes graphically and algebraically.
Texas A&M University
Texas A&m Univ: Limits at Infinity Horizontal Asymptotes
This site, created by a math professor at Texas A & M University provides notes about and defines different types of asymptotes.
CK-12 Foundation
Ck 12: Algebra: Horizontal and Vertical Asymptotes
[Free Registration/Login may be required to access all resource tools.] Identifying and understanding asymptotes of rational functions
Other
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...
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.
CK-12 Foundation
Ck 12: Algebra: Horizontal and Vertical Asymptotes
[Free Registration/Login may be required to access all resource tools.] Find the horizontal and vertical asymptotes of rational functions.
CK-12 Foundation
Ck 12: Analysis: Limits and Asymptotes
[Free Registration/Login may be required to access all resource tools.] Introduction to end behaviors, limits, asymptotes and limit notation.
Mathematics Archives
Math Archives: Horizontal Asymptotes
This site uses an interactive LiveMath Notebook example to explain Horizontal Asymptotes. LiveMath Notebook may be downloaded for a free trial period to view these examples.
New York University
Nyu: Courant Institute of Mathematical Sciences: Rational Functions [Pdf]
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.
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...
Paul Dawkins
Paul's Online Notes: Limits at Infinity, Part I: Practice Problems
Provides practice problems that review limits at infinity concentrating on polynomials and rational expressions and a brief look at horizontal asymptotes.
Cool Math
Coolmath: Graphing Rational Functions Horizontal and Slant (Oblique) Asymptotes
This algebra lesson explains how to find horizontal and slant (oblique) asymptotes when graphing rational functions.
Cool Math
Coolmath: Rational Functions Vertical Asymptotes
This CoolMath Resource provides and introduction to vertical asymptotes, a type of rational function.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Asintotas
In this unit you will learn to calculate the limits of a function and the equations of the vertical, horizontal and oblique asymptotes from its graph.
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.
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: Algebra 2 Review
A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of 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.
Curated OER
Zona Land
Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.