Given the zeros, find the end behavior to sketch the graph of a polynomial

The video tutorial covers the concepts of leading coefficients and terms in polynomials, explaining how to determine the end behavior by multiplying terms. It discusses graphing polynomials by identifying zeros and their multiplicities, and how these affect the graph's behavior. The tutorial emphasizes understanding the difference between odd and even multiplicities and how they influence whether the graph crosses or bounces at the x-axis. The session concludes with a focus on sketching polynomial graphs using these principles.

What can you infer about the graph's behavior when it crosses a zero versus when it bounces off a zero?

Describe how you would sketch the graph of a polynomial function given its zeros and end behavior.