This lesson consists of the following: Identifying polynomial functions. Recognize characteristics of graphs of polynomial functions (smooth & continuous), Determining end behavior, Using factoring to find zeros of polynomial functions, Identifying zeros and their multiplicities, Using the Intermediate Value Theorem, Understanding the relationship between degree and turning points, and Graphing polynomial functions. The following attachment gives definitions and has problems that focus on those topics.
Polynomial Functions and Their Graphs
Subject Math — Mathematical Functions
Grade Level Grades 9-12
Resource Type Activity
Common Core State Standards
Graph linear and quadratic functions and show intercepts, maxima, and minima.
Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.