Education Technology

# Activities

• ##### Subject Area

• Math: Algebra I: Exponential Functions

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.9

## Characteristics of Exponential Functions

#### Activity Overview

Investigate how the graph of an exponential function changes when 0 < b < 1, b = 1, or b > 1.

#### Objectives

• Students will identify the characteristics of exponential functions of the form f(x) = bx, where b > 1
• Students will identify the characteristics of exponential functions of the form f(x) = bx, where 0 < b < 1

#### Vocabulary

• Exponential function

#### About the Lesson

This lesson involves investigating how the graph of an exponential function changes when 0 < b <1, b = 1, or b >1. As a result, students will:

• Graph an exponential function.
• Describe the domain, range, and y-intercept of the exponential function.
• guided lesson video(optional) is also available for this activity. The video is targeted at students and designed to help guide them through the interactive exploration and the concepts covered within. (It may also be helpful for teachers who may be using the activity for the first time.)