Education Technology

# Activities

• ##### Subject Area

• Math: Precalculus: Polynomial, Power, and Rational Functions

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

3.1

## Products of Linear Functions

#### Activity Overview

This lesson involves polynomial functions viewed as a product of linear functions.

#### Objectives

• Students will understand relationships between the horizontal intercepts of two linear functions and the horizontal intercepts of the quadratic function resulting from their product.
• Students will understand relationships between the slopes of two linear functions and the orientation and width of the quadratic function resulting from their product.
• Students will understand when the product of two linear functions will not be quadratic.
• Students will explore the relationship between linear factors and the resulting cubic function.

#### Vocabulary

• linear function
• cubic function
• roots
• intersect

This lesson involves polynomial functions viewed as a product of linear functions.
As a result, students will:

• Manipulate linear functions to change the graph of their product to meet certain constraints.
• Make and test predictions about how the properties of linear functions affect the graphs of their quadratic or cubic product functions.