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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.
Mathematics Archives
Math Archives: Visual Calculus: Rational Functions
An explanation of what comprises the domain of a rational function. The information is brief, but formulas and examples are given along with additional links.
Curated OER
Graphs: Online Calculator
This resource presents an online calculator which allows you to graph rational functions. Requires Java plug-in.
Curated OER
Function Institute
The Function Institute provides descriptions and examples for linear functions, polynomials functions, rational functions, exponential functions, and trigonometric functions.
Oregon State University
Oregon State University: Review of Rational Functions
This lesson on rational functions has a section on finding the domain which includes an example problem.
California State University
California State University: Domain and X Intercepts in Rational Functions
Description of the nature of the domain in rational functions.
Other
Math notes.com: Rational Functions
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
Math Graphs
Houghton Mifflin: Math Graphs: Partial Fraction Decomposition 5 [Pdf]
The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.
Other
Radford University: Rational Functions
This site from the Radford University provides a quick look at graphing rational functions, using a less rigorous approach that is done traditionally.
Sophia Learning
Sophia: Slant Asymptotes: Lesson 2
This lesson explains how to determine the slant asymptotes of a given rational function. It is 2 of 10 in the series titled "Slant Asymptotes."
Sophia Learning
Sophia: Slant Asymptotes: Lesson 3
This lesson explains how to determine the slant asymptotes of a given rational function. It is 3 of 10 in the series titled "Slant Asymptotes."
Sophia Learning
Sophia: Slant Asymptotes: Lesson 5
This lesson explains how to determine the slant asymptotes of a given rational function. It is 5 of 10 in the series titled "Slant Asymptotes."
