Polynomial Functions and Their Graphs

This 50-minute lesson from GreeneMath.com provides a comprehensive exploration of polynomial functions and their graphical representations. Learn essential concepts starting with basic definitions of polynomial functions, including how to identify degree, leading coefficient, leading term, and constant term. Examine the graphs of common monomials and how transformations affect their appearance. Understand the mathematical properties of polynomial functions, including smoothness and continuity, end behavior patterns, the shape of graphs near zeros, and turning points. The lesson culminates with practical examples of graphing polynomial functions, with numerous Desmos calculator links provided throughout to visualize each concept interactively. Perfect for students seeking to strengthen their understanding of polynomial behavior and graphical analysis in algebra and precalculus.