Npac Reu Program: Infinite Limits for Rational Functions

Using this instructional activity, pupils graph 11 simple rational functions. They also find asymptotes, domain, and range for each function. The solutions are provided.

Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...

Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 

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

Take your kids on a tour of graphing rational functions. Using this TI instructional activity, high schoolers identify the end behavior of their functions. They find the domain and range, describe end behavior, and look at asymptotes and...

This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...

Make a table to graph a rational equation. Make a list of values for x and plug them into the expression to get the y value. Then plot the ordered pairs on a graph. Hey, this graph looks funny! Something about asymptotes. Watch closely...

Calculus high schoolers find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...

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.

Push an engaging resource to the limit. The interactive allows learners to find a limit on quadratic functions graphically. Using sliders, pupils set the x-value for the limit and to move values from the left and right toward the limit.