Education Technology

Domain and Range of Exponential Functions

Updated on 08/14/2014

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.