Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.

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.

[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...

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...

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.

Students explore rational functions. Vertical asymptotes, horizontal asymptotes, slant asymptotes, and the zeros of a function are examined.

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...

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...

Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.

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...

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.

The activity summarizes vertical asypmtotes, horizontal asymptotes, slant asymptotes, x-intercepts, y-intercept of rational functions.

Given the formula of a rational function, determine how it behaves around its vertical asymptote.

In this lesson, young scholars will learn how to find holes, vertical asymptotes, and horizontal asymptotes graphically and algebraically.

[Free Registration/Login may be required to access all resource tools.] Identifying and understanding asymptotes of rational functions

Explains what rational functions are and their features. Describes transformations of rational functions, discontinuities for different types, and gives examples of how to solve problems involving discontinuities. Also discusses the...

This activity explores graphically, numerically and symbolically the vertical and horizontal asymptotes of a rational function through the limit taking capability of the graphing calculator.

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.

In this task about canoeing, paddling speed, and current speed, learners examine how long a trip would take at different speeds. They write a function equation, graph their equation, and explain their thinking. The primary purpose of the...

[Free Registration/Login may be required to access all resource tools.] Graph rational functions involving division and find all their asymptotes.

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.

This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.

The exercise examines partial fraction decomposition of a rational function. Students determine any vertical asymptotes of the rational function and the terms of the decomposition. The rational function graph is available in PDF format.

Learners identify any vertical asymptotes of a rational function and the terms of the partial fraction decomposition. The graph is available in PDF format.