Finding the end behavior when given an equation

The video tutorial explains how to identify the degree of a polynomial and its leading coefficient. It discusses how these factors influence the behavior of the graph, particularly as X approaches positive and negative infinity. The tutorial also covers how to sketch the graph and interpret its direction based on the degree and leading coefficient.

What is the significance of writing down the behavior of f(x) as x approaches infinity and negative infinity for polynomial problems?

As x approaches negative infinity, what can you say about the behavior of f(x) if the leading coefficient is negative?