Section 4.4 - Polynomials and Their Graphs

Section Objectives

  1. Determine the end behavior of a polynomial function.
  1. Use multiplicities of zeros and end behavior to graph a polynomial function.



End behavior, zeros, and polynomial graphs

Consider the polynomial , where the coefficients , , , are real numbers with .



The general shape of the graph of can be easily determined from the polynomial's factored form.




Example