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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 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.
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.
Other
Math notes.com: Rational Functions
A quick look at graphing rational functions, with investigationa ideas for using a graphing calculator.
Wolfram Research
Wolfram Math World: Graphs
MathWorld.com shows many types of discrete math graphs and provides links to related topics.
Interactive Mathematics
Interactive Mathematics: The Graph of a Function
Several examples are presented to demonstrate the process of graphing functions, including linear, quadratic, and rational functions.
University of Saskatchewan (Canada)
University of Saskatchewan: Graphing Rational Functions
Offers a straightforward introduction to graphing rational functions. Includes an example.
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: Moderate Rational Function Problems
A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..
Texas Instruments
Texas Instruments: Mc Dougal Littell Algebra 2: Graph Rational Functions
Students can use the TI-84 Plus family to analyze the end behavior of polynomial functions.
University of Vienna (Austria)
Math Online: Functions
This interactive site uses applets to show sample graphs of each simple power function, a function plotter, graph puzzles, and more. Great site.
Curated OER
Graphs: Online Calculator
This resource presents an online calculator which allows you to graph rational functions. Requires Java plug-in.
Curated OER
Zona Land: Definition of a Rational Function
A thorough introduction to rational functions, covering domain, range, graphs, intercepts, and end behavior.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Graphing Rational Functions
Fourteen problems present a variety of practice graphing rational functions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to...
University of Saskatchewan (Canada)
University of Saskatchewan: Easy Rational Function Exercises
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.
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...
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.
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....
Paul Dawkins
Paul's Online Notes: Algebra: Common Graphs
Students investigate how to graph a wide variety of equations and functions. Topics explored are lines, rational functions, parabolas, ellipses, and transformations. Class notes, definitions, and examples with detailed solutions are...
University of Saskatchewan (Canada)
University of Saskatchewan: Algebra 2 Review
A more advanced review of Algebra II concepts allows students to test their readiness for higher level math courses. Topics range from absolute value to rational expressions.
William Mueller
William Mueller: Families of Functions
Meet the Function Family! Each member of the family has examples of their graphs and descriptions of the types of real-world situation that produce those graphs.
CK-12 Foundation
Ck 12: Analysis: Applications of One Sided Limits
[Free Registration/Login may be required to access all resource tools.] Computing the limit of a function by identifying one-sided limits
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.