Introduction to Characteristics of Power and Polynomial Functions

Learning Objectives

By the end of this lesson, you will be able to:

  • Identify power functions.
  • Identify end behavior of power functions.
  • Identify polynomial functions.
  • Identify the degree and leading coefficient of polynomial functions.
  • Identify local behavior of polynomial functions.

In this section, we will examine functions that are used to estimate and predict things like changes in animal and bird populations, or fluctuations in financial markets.

We will also continue to learn how to analyze the behavior of functions by looking at their graphs. We will introduce and describe a new term called end behavior, and show which parts of the function equation determine end behavior.  We will also identify intercepts of polynomial functions.