Using the Leading coefficient test to determine the end behavior of a polynomial

The video tutorial explains how to determine the end behavior of a polynomial function. It begins by introducing the problem and emphasizes the importance of arranging the polynomial in descending order of degree. The tutorial then focuses on identifying the leading coefficient and its role in determining the function's end behavior. The instructor explains the behavior of odd functions with positive coefficients and provides methods to describe the end behavior using different notations.

Describe the end behavior of odd-degree polynomial functions with a positive leading coefficient.

Evaluate responses using AI:

OFF

How can you use the simplest odd function to understand the end behavior of higher-degree odd functions?

Evaluate responses using AI:

OFF

What happens to the graph of a polynomial function if the leading coefficient is negative?

Evaluate responses using AI:

OFF