Determine the end behavior of a factored polynomial

The video tutorial explains how to determine the behavior of polynomials by focusing on the degree, which is the largest power of the variable. It emphasizes that for graph behavior, the leading coefficient is crucial. The tutorial also covers how to describe graph behavior using notation and limits, explaining that as x approaches negative or positive infinity, the graph's y-values fall or rise accordingly.

What is the primary factor to consider when determining the behavior of a polynomial function?

Describe the relationship between the degree of a polynomial and its end behavior.

What does it mean for a function to have an odd leading coefficient?

Explain what is meant by 'falls left' and 'rises right' in the context of polynomial functions.

How do you express the behavior of a function as x approaches negative infinity?