How to apply the leading coefficient test to determine end behavior

The video tutorial covers the leading coefficient test, starting with an introduction to polynomials and their structure. It explains the importance of the leading term and how to determine the end behavior of polynomials using the leading coefficient test. The video includes graphical examples of polynomial behavior for even and odd degrees, both positive and negative. It concludes with a formal explanation of end behavior using mathematical notation, helping viewers understand how to apply the leading coefficient test effectively.

What is the standard form of a polynomial?

What is the relationship between the degree of a polynomial and its graph?

How does the leading coefficient affect the direction of the graph?

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