Cool Math
Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited
Wrap up tutorials on graphing increasing and decreasing functions.
Illustrative Mathematics
Illustrative Mathematics: F if Graphing Rational Functions
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.
Illustrative Mathematics
Illustrative Mathematics: F Bf,if the Canoe Trip, Variation 2
In this task about canoeing, paddling speed, and current speed, students examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...
Khan Academy
Khan Academy: Algebra Ii: Graphs of Rational Functions
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.
Purple Math
Purplemath: Graphing Rational Functions: Introduction
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...
Khan Academy
Khan Academy: Algebra Ii: Analyze Vertical Asymptotes of Rational Functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: End Behavior of Rational Functions
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.
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...
CK-12 Foundation
Ck 12: Analysis: Rational Function Limits
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
CK-12 Foundation
Ck 12: Algebra: Graphs of Rational Functions
[Free Registration/Login may be required to access all resource tools.] Learn about the shapes and characteristics of graphs of rational functions. Students examine guided notes, review guided practice, watch instructional videos and...
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.
Cool Math
Coolmath: Rational Functions Horizontal Asymptotes (And Slants)
This CoolMath resource provides information about horizontal asymptotes, a type of rational function.
Cool Math
Coolmath: Rational Functions Vertical Asymptotes
This CoolMath Resource provides and introduction to vertical asymptotes, a type of rational function.
Cool Math
Coolmath: Rational Functions Intercepts
This CoolMath resource will help students understand intercepts, a rational function.
Cuemath
Cuemath: Functions
In this mini-lesson, 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 functions....
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.
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
Gobierno De Navarra: Familias De Funciones Elementales
Visualize the different kinds of functions with these interactive activities.
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 1 [Pdf]
Learners write the partial fraction decomposition of a rational function and identify the graphs of the rational function and each term of the decomposition. The graphs are available in PDF format.