Education Technology

# Activities

• ##### Subject Area

• Math: Algebra II: Powers Roots and Radical Functions

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

## Power Function Inverses

#### Activity Overview

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

#### Objectives

• For power functions of the form f(x)=xn, where n is a positive integer and the domain is all real numbers, students will be able to identify which functions are invertible (odd powers) and be able to graph the inverse function using reflection symmetry across the line y = x.
• Students will be able to identify a suitable restricted domain for an even power function to have an inverse, and be able to graph the inverse function using reflection symmetry across the line y = x.

#### Vocabulary

• inverse
• reflection
• domain
• one to one functions
• horizontal/vertical line test