# Activities

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• • ##### Subject Area

• Math: Algebra I: Exponential Functions

• ##### Author 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

3.6

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Exponential Functions f(x) = abx

#### Activity Overview

Move a slider to investigate the effect of different a-values on f(x) = a*bx.

#### Objectives

• Students will identify the characteristics of graphs of exponential functions of the form f(x) = abx
• Students will describe how the parameters a and b affect the graphs of exponential functions of the form f(x) = abx, where a ≠ 0 and b > 0, b ≠ 1

• Exponential

#### About the Lesson

This lesson involves moving a slider to investigate the effect of different a-values on f(x) = a*bx. As a result, students will:

• Explore specific values of a and b, and then generalize the effects of both a and b on the graph, the domain, and the range of the graph of an exponential function.