This document discusses key concepts related to graphs of polynomial functions, including: - Extrema (maximum, minimum, relative maximum, relative minimum points) and where they occur on the sample graph - Zeros (x-intercepts) and that the sample function has four zeros - Increasing and decreasing intervals based on the slope, with the function increasing where driving uphill and decreasing where driving downhill - Positive and negative intervals, referring to where the function is positive or negative based on the y-value.