In this rational functions instructional activity, students find asymptotes, perform operations, simplify, and solve in twenty rational functions.

In this Algebra II activity, 11th graders examine a rational function as they determine the domain, vertical asymptotes, x- and y-intercepts and graph the function.  The two page activity contains five problems that relate to the...

Young scholars evaluate rational functions. In this precalculus lesson, students make observations and define what makes a rational function and what makes a linear function. They use the Ti calculator to visualize the different graphs.

There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...

How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...

In this algebra worksheet, 11th graders graph rational functions. They identify the asymptote, discontinuity, holes and vertex. There are 14 questions with an answer key.

Let's see what the class learned! The last installment of the 23-part Pre-calculus module consists of nine assessment questions designed to measure a specific portion of a standard in the unit. Learners demonstrate their understanding of...

In this rational expression instructional activity, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor.  This instructional activity is designed as a test to be completed with a...

Students use algebraic methods to represent and solve problems. Using a graphing calculator, students solve rational and inequality problems. They visually demonstrate solutions of functions through graphing. Students answer questions...

The behavior of a rational function near a vertical asymptote is the focus around this trip up a river. Specifically, numerical and graphical understanding is studied. The canoe context pushes the variables as numbers, rather than as...

In this calculus worksheet, learners analyze one equation by finding the maximum number of zeros. They use Descarte's Rule of Signs and the rational roots theorem. Students use synthetic division to factor the polynomial. Learners solve...

Young scholars convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor...

This CoolMath Resource provides and introduction to vertical asymptotes, a type of rational function.

This CoolMath resource provides information about horizontal asymptotes, a type of rational function.

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.

This Precalculus review (Calculus preview) lesson explains how to find the vertical asymptotes when graphing rational functions.

This site provides an introduction to rational functions. Topics that are included are finding the domain of a rational function, finding the horizontal and vertical asymptotes and graphing rational functions. There are many worked out...

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.

[Free Registration/Login may be required to access all resource tools.] Find the horizontal and vertical asymptotes of rational functions.

This site provides a detailed explanation of rational functions by looking at numerous examples. Topics that are covered include domain, horizontal asymptotes, vertical asymptotes and graphing rational functions.

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...

This site is a 16-page excerpt from a textbook that discusses the topic of graphing rational functions. The book includes numerous worked out examples. Topics that are covered include the domain of a rational function, zeroes of a...

A set of exercises of moderate difficulty on rational functions, complete with solutions and hints for students..

Offers a straightforward introduction to graphing rational functions. Includes an example.