Curated OER
Calculate the Slope of a Line Using Two Points
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
Curated OER
Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
Pennsylvania Department of Education
Analyzing Numeric and Geometric Patterns of Paper Pool
Students use concrete and pictorial representation of geometric patterns to extend patterns. In this geometric patterns lesson plan, students identify patterns and extend them.
Texas Education Agency
Texas Gateway: Rational Functions: Predicting the Effects of Parameter Changes
Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.
Paul Dawkins
Paul's Online Notes: Math Notes: Excluded Values in Rational Functions
A description and example of which values are excluded from the domain of a rational function.
![Nyu: Courant Institute of Mathematical Sciences: Rational Functions [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Nyu: Courant Institute of Mathematical Sciences: Rational Functions [Pdf] Unknown Type")
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.
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
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...
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...
Richland Community College
Richland Community College: Steps to Graphing Rational Functions
This site describes the steps to follow when graphing a rational function.
Texas Instruments
Texas Instruments: Rational Functions Asymptotes and Holes
These multiple-choice and fill-in-the-blank questions ask students to identify asymptotes, holes, and domain for rational functions.
California State University
California State University: Domain and X Intercepts in Rational Functions
Description of the nature of the domain in rational functions.
Oregon State University
Oregon State University: Rational Functions
A look at graphs of rational expressions, finding properties of the graph by using calculus. Formulas included.
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.
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.
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.
Curated OER
Zona Land: Definition of a Rational Function
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
Texas Instruments
Texas Instruments: Graphing the Rational Function F(x) = |X|
This LearningCheck document can be used as a self-discovery lesson. The student can explore the domain and range along with the transformations.
Texas Instruments
Texas Instruments: Graphing the Rational Function F(x)=1/x
This is designed for Algebra 2 students to help them develop an understanding of transformations, asymptotes, domain and range.
Math Medics
S.o.s. Math: Algebra
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Cuemath
Cuemath: Functions
In this mini-activity, students will learn about the world of functions. They will explore topics such as how to represent a function, conditions for a function, how to solve a function, types of functions, and various graphs of...
Analyze Math
Analyze Math: Rational Expressions
Learners are introduced to the Pre-Calculus topic of rational expressions. The tutorial consists of a definition, examples, and finding the domain of rational expression. The activity includes practice exercises with detailed solutions.