Using end behavior, zeros and the intermediate value theorem to graph a polynomial

The video tutorial explains how to graph a polynomial function without using a graphing calculator. It covers finding zeros by factoring, solving for zeros, and plotting them on a graph. The tutorial discusses multiplicity and how it affects axis crossing, and uses the leading coefficient test to determine the graph's end behavior. The intermediate value theorem is used to find additional points for a more accurate graph.

What is the relationship between the multiplicity of a zero and its behavior at the x-intercept?

How can you use the intermediate value theorem when graphing a polynomial function?

Describe the process of finding additional points to plot on the graph of a polynomial function.