Class notes AP Pre-Calculus for Concavity

These Unit 1 Pre-Calculus notes provide clear, organized explanations of concavity, increasing/decreasing behavior, and points of inflection using multiple graphs and examples. The notes walk through how to identify where a function is concave up or concave down, how the rate of change affects the shape of the graph, and how to recognize inflection points both visually and conceptually. Several worked-out graphs are included, along with tables of function values and diagrams illustrating how increasing/decreasing patterns connect with concavity. These notes offer strong visual reinforcement and step-by-step reasoning, making them extremely helpful for studying polynomial behavior and foundational calculus concepts introduced in Pre-Calculus Unit 1.