Curated OER
Horizontal Asymptotes: M=N, M>N
In this algebra worksheet, students calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
Curated OER
Continuous Function
In this continuous function worksheet, students identify continuous functions, and use limits to determine the horizontal asymptotes. This two-page worksheet contains three problems.
Curated OER
Infinite Limits and Horizontal Asymptotes
In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.
Mathematics Archives
Math Archives: Horizontal Asymptotes
This site from the University of Tennessee defines horizontal asymtopes. Gives sample and example problems.
Oregon State University
Calculus Quest: Questions on Exponential Functions
A set of exercises, complete with solutions, covering the basics of exponential functions, from the laws of exponents to exponential growth and decay.
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: Limits Vertical and Horizontal Asymptotes
This activity explores graphically, numerically and symbolically the vertical and horizontal asymptotes of a rational function through the limit taking capability of the graphing calculator.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Asintotas
This interactive unit shows you the relationship between functions and their graphs. You can practice how to calculate the limit of the function as x approaches plus or minus infinity.
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.
Other
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...
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.
Other
Binghamton University: Graphing Rational Functions [Pdf]
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...
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.
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.
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: 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...
Cool Math
Coolmath: Rational Functions Horizontal Asymptotes (And Slants)
This CoolMath resource provides information about horizontal asymptotes, a type of rational function.
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.
Free Math Help
Free Math Help: Finding Horizontal Asymptotes
The lesson explains how to find horizontal asymptotes. An explanation and examples are included.
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.
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.
