Curated OER
Rational Functions
Through a mini assessment, learners identify and list the vertical and horizontal asymptotes for the given rational functions and determine the type of asymptote of a given rational function. They also decide which form of a function...
Curated OER
Senior Analysis: Graphing Rational Functions
Budding mathematicians graph given functions, identify the asymptotes, graph absolute values, and write a table of points. This three-page worksheet contains 23 problems.
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Curated OER
Graphing Rational Functions
Learners complete an activity, included, of the information on asymptotes and intercepts. They also solve and complete eight questions on graphing rational functions, file included. Finally, pupils summarize vertical asymptotes,...
Curated OER
Horizontal Asymptotes: M=N, M>N
In this algebra worksheet, students calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
Curated OER
Graphing Rational Functions
For this rational function worksheet, students identify the vertical and horizontal asymptote for each rational function. They graph rational functions. This one-page worksheet contains five problems.
Curated OER
Worksheet 9, Rational Functions
In this algebra worksheet, students tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
Wolfram Research
Wolfram Math World: Rational Function
This site provides formulas and definitions as well as related links to rational functions.
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.
Cuemath
Cuemath: Rational Function
A comprehensive guide for learning all about rational functions with definitions, how to plot them, solved examples, and practice questions.
Curated OER
Zona Land: Definition of a Rational Function
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
Curated OER
Zona Land
Site explains asymptotes well using reciprocal function as example. Points out weaknesses that technology has when graphs are close to asymptotes.
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.
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.
Texas Instruments
Texas Instruments: Behaviors Rational Functions
This StudyCard set teaches and tests on the rational function. Shows connection between the function parameters and the resulting geometric behaviors of the rational function. Use with Foundations for College Mathematics, ch. 7.1.
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: Evaluating Rational Functions
In this activity, students study the asymptotic behavior of rational functions. They explore the two types of asymptotes and make generalizations as to when they do or do not occur.
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.
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: Rational Functions and Their Asymptotes
In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.
Texas Instruments
Texas Instruments: The Closer I Get to You Ti 83
Here's a group activity your students can do to learn about rational functions. Students will use properties of reflections together with measuring tapes, mirrors, and masking tape to find a function that relates height of a reflection...
Texas Instruments
Texas Instruments: Graphing Rational Functions
The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.
Texas Instruments
Texas Instruments: Rational Addition, Subtraction
This StudyCard stack covers adding (or subtracting) numerators with simple to complex denominators. The set ends with sums or differences of rational functions with different denominators.
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.