# Activities

• • • ##### Subject Area

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

• ##### Author 9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.9

• ##### Report an Issue

Exploring Vertical Asymptotes

#### Activity Overview

Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.

#### 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.

#### Vocabulary

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