Asymptote Teacher Resources

A video lesson introducing hyperbolas. The standard form for the equation of a hyperbola is given and the formula for the equations of the asymptotes are derived algebraically. An arbitrary graph is drawn to show what a hyperbola looks...

Provides practice problems that review limits at infinity concentrating on polynomials and rational expressions and a brief look at horizontal asymptotes.

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.

This is designed for Algebra 2 students to help them develop an understanding of transformations, asymptotes, domain and range.

These questions ask students to write the equations of conic sections given a variety of information. Students are also asked to find the foci of an ellipse and the asymptotes of a hyperbola. Solutions and explanations are included.

Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.

Explore how to graph hyperbolas using the asymptotes as a guide and complete practice problems.

The free mathematics tutorial explores the unit circle and trigonometric functions. The tutorial consists of definitions and examples with solutions. The interactive applet allows students to investigate domain, range, and asymptotes of...

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...

Review exercise provides eight problems that provide practice in evaluating infinite limits and vertical asymptotes.

In this task about canoeing, paddling speed, and current speed, students 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...

This interactive unit shows you the relationship between functions and their graphs. You can practice how to calculate the limit of the function as x approaches plus or minus infinity.

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

The mathematics tutorial investigates how to simplify rational equations, find the least common denominator as well as how to solve rational equations. There are notes, examples and an interactive applet as well as a vocabulary puzzle.

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

This learning tutorial about how to graph inverse variation functions combines videos, a PowerPoint presentation, and helpful hints. The videos demonstrate how to solve example problems and the PowerPoint presentation provides some key...

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...

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

[Free Registration/Login may be required to access all resource tools.] In this lesson students explore analytical, graphical and numerical methods of solving polynomial and rational equations.

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.

[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...

The limit is the fundamental notion of calculus. This underlying concept is the thread that binds together virtually all of the calculus studied by the student. In this lesson, the student's knowledge of limits will be extended using...

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

A definition for what a hyperbola is along with example diagrams of what horizontal and vertical hyperbolas are and gives the standard form equation.