Education Technology

Exploring Rational Functions

Activity Overview

Students investigate the graphs of functions of the form y = 1/(x-a). They will discover that the graph of such a function has a vertical asymptote at x = a, and a horizontal asymptote at y = 0. They will investigate the graphic and numeric consequences of such asymptotic behavior by observing a trace point on the graph move in response to various inputs for the independent variable.

Before the Activity

Download the attached PDF and look over the information on the first page. Download and distribute the attached .tns file for use during the activity. A .tns file containing expected student results is also available for download.

During the Activity

Discuss the material from the activity pages with students as needed.

After the Activity

Encourage students to summarize what they have learned from completing the activity.