# Modeling

In this chapter, we're going to think about techniques that we can sketch the graphs of polynomial functions. The results will just be sketches, i.e. there's going to be a certain amount of accepted inaccuracy to them. In calculus, you'll see techniques that can let you refine graphs further to include several features that our sketches here will gloss over.

# Video Lectures

To sketch the graph of a polynomial, we focus on two parts: What's going on at the edges and what's going on in the middle. End behavior is the tool that we use to analyze what the graph of a polynomial is doing at its edges. (lecture slides)

In this lecture, we're going to see how to analyze the end behavior of a polynomial function that's in its factored form without going to the trouble of multiplying it out.