# Activities

• • • ##### Subject Area

• Math: Precalculus: Exponential and Logarithmic Functions

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

• ##### Report an Issue

Comparing Exponential and 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.
• Students will be able to construct arguments based on graphs and other reasoning to support the conclusion that exponential functions exceed power functions for sufficiently large values of x.

#### Vocabulary

• Exponential function
• Power function
• Base