Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Polynomial, Power, and Rational Functions

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.0

## Exploring Vertical Asymptotes

#### Activity Overview

This lesson involves observing how changing the values in a rational function affects the continuity of the graph of the function.

#### Objectives

• Students will determine the domain of rational functions.
• Students will use algebraic concepts to determine the vertical asymptotes of a rational function.
• Students will determine the removable discontinuities of a rational function.
• Students will describe the graph of a rational function given the equation.
• Students will use appropriate tools strategically (CCSS Mathematical Practice).

#### Vocabulary

• rational function
• domain
• asymptote
• factors
• zeros
• removable discontinuity