Purple Math
Purplemath: General Polynomials
Confused about graphing or just need a refresher? This explanation focuses on graphing higher-power polynomials along with radical functions, rational functions, and piecewise functions. Plenty of examples are included.
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: Graphing Rational Functions Putting It All Together
A tutorial reviewing graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited
Wrap up tutorials on graphing increasing and decreasing functions.
Cool Math
Coolmath: Advanced Graphing Piecewise Functions
This algebra lesson explains how to graph piecewise defined 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.
CK-12 Foundation
Ck 12: Analysis: Graphs of Polynomials Using Zeros
[Free Registration/Login may be required to access all resource tools.] In this lesson students use ''X'' and ''Y'' intercepts to graph polynomials of 3rd degree or higher. Students examine guided notes, review guided practice, watch...
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: 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: Algebra: Graphs of Polynomials Using Transformations
[Free Registration/Login may be required to access all resource tools.] In this lesson, students apply transformations to uncommon polynomial functions. Students examine guided notes, review guided practice, watch instructional videos...
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: Inverse Variation Problems
[Free Registration/Login may be required to access all resource tools.] Graph rational functions involving division and find all their asymptotes.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
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 Intercepts
This CoolMath resource will help students understand intercepts, a rational function.
Shodor Education Foundation
Shodor Interactivate: Graph Sketcher
Students can create graphs of functions entered as algebraic expressions similar to a graphing calculator.
CK-12 Foundation
Ck 12: Algebra Ii: 1.4 Characteristics of Polynomial Graphs
This lesson explores graphs of polynomial equations including how to find the maximum and minimum y-values on a polynomial 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.
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
Zona Land Education: Polynomial Function Graphs
Use the applets to look at several polynomial function graphs and how their characteristics change.
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.