Education Technology

Exponential vs. Power Functions

Activity Overview

Students will be able to use various graphical representations to determine which of two functions is greater for large values of x.

Objectives

• Students will be able to use various graphical representations to determine which of two functions is greater for large values of x.
• Students will understand that any exponential function of base greater than 1 will be greater than any power function for sufficiently large values of x.
• Students will be able to determine which of two functions is greater given a graph of the ratio of the two functions.

Vocabulary

• exponential function
• power function
• base

About the Lesson

This lesson is a follow-up lesson to the activity Comparing Exponential and Power Functions.