Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Rational Functions
• Math: College Algebra: Rational Functions

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

## 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.