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: Rational Functions
This TI InterActive! activity is an algebra test which examines the student's understanding of Rational Functions.
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Infinite Limits for Rational Functions
This Northeast Parallel Architectures Center of Syracuse University site offers examples and instruction on infinite limits for rational functions.
Analyze Math
Analyze Math: Graphs of Rational Functions
Students explore the graph of a rational function given by its formula. The tutorial examines vertical and horizontal asymptotes. The activity consists of examples with solutions.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Notes: Algebra: Rational Functions
Detailed tutorial features notes and numerous examples that illustrate how to graph rational functions.
Wolfram Research
Wolfram Math World: Rational Function
This site provides formulas and definitions as well as related links to rational functions.
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...
Texas Education Agency
Texas Gateway: Transformations of Square Root and Rational Functions
Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.
Khan Academy
Khan Academy: Analyze Vertical Asymptotes of Rational Functions
Given the formula of a rational function, determine how it behaves around its vertical asymptote.
Sophia Learning
Sophia: Lio + Lola: Graphing Rational Functions
Graph rational functions using examples and step by step guide.
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.
University of Saskatchewan (Canada)
University of Saskatchewan: Moderate Rational Function Problems
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
University of Saskatchewan (Canada)
University of Saskatchewan: Advanced Rational Function Problems
A set of more difficult exercises on rational functions, complete with solutions. Asks for students to find the asymptotes of the equations given and to sketch the function.
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
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...
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.
Khan Academy
Khan Academy: Rational Function Points of Discontinuity
Given a rational function, sort given input values according to zeros, vertical asymptotes, and removable discontinuities. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...
Cool Math
Coolmath: Graphing Rational Functions Putting It All Together
A tutorial reviewing graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions X and Y Intercepts
Find out how to find the x and y-intercepts when graphing rational functions.
Cool Math
Coolmath: Graphing Rational Functions Vertical Asymptotes
This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.
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.
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.
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