This document discusses polynomial functions including: 1) Identifying polynomials and their degree, evaluating polynomials using synthetic substitution, illustrating polynomial equations, and solving problems involving polynomials. 2) Defining a polynomial function as a function involving only positive integer exponents of a variable and noting the highest power as its degree, with the domain being all real numbers. 3) Providing examples of types of polynomial functions and graphs of polynomial functions, and evaluating polynomials using direct substitution or synthetic substitution.