Education Technology

End Behavior of Polynomial Functions

Published on 04/11/2011

Activity Overview

This lesson involves determining the similarities and differences among functions.

Objectives

  • Students will recognize the similarities and differences among power and polynomial functions of various degrees.
  • Students will describe the effects of changes in the leading coefficient on the end behavior of graphs of power and polynomial functions.

Vocabulary

  • degree of a polynomial
  • end behavior
  • leading coefficient
  • polynomial function
  • power function

About the Lesson

This lesson involves determining the similarities and differences among functions.
As a result, students will:

  • Use a slider to scroll through the graphs of power functions with a coefficient of positive 1 and graphs of power functions with a coefficient of negative 1.
  • Generalize the end-behavior properties of various power and polynomial functions.
  • Write a possible equation of a polynomial function given the graph of the function.