# Activities

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• • ##### Subject Area

• Math: Algebra I: Exponential Functions

• ##### Author 9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.6

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Domain and Range of Exponential Functions

#### Activity Overview

Determine the domain and range of an exponential function f(x) = bx.

#### Objectives

• Students will determine the domain and range of an exponential function f(x) = bx, with b > 0, b ≠ 1.

#### Vocabulary

• Domain
• Range
• Exponential function

#### About the Lesson

This lesson involves students moving a point that changes the value of the exponent x in an exponential function f(x) = bx. The corresponding point on the graph is shown, as well as the value of f(x). As a result, students will:

• Compare exponential functions of the form f(x) = bx, where b > 1 or 0 < b < 1.
• Describe the domain and range of exponential functions in the form f(x) = bx.
• Compare and contrast the domain and range of exponential functions with a rational base and exponential functions with an integral base.