# Activities

• • • ##### Subject Area

• Math: Algebra II: Powers Roots and Radical Functions

• ##### Author 9-12

45 Minutes

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

TI-Nspire™ CX
TI-Nspire™ CX CAS

4.5

• ##### Report an Issue

Exploring Power Functions 1

#### Activity Overview

Examine the graphs of power functions with even and odd positive integer exponents.

#### Objectives

• Students will be able to describe the end behaviors of functions of the form y = xn where n is a positive integer
• Students will be able to justify why the three points (–1, –1), (0, 0), and (1, 1) are common to any function of the form y = xn where n is an even integer
• Students will be able to justify why the three points (–1, –1), (0, 0), and (1, 1) are common to any function of the form y = xn where n is an odd integer
• Students will be able to identify the symmetry in even and odd power functions and describe the line or point of symmetry

#### Vocabulary

• end behavior
• symmetry
• power/exponent