Graphs of Functions & Their Derivatives

Study Guide Overview

This study guide covers sketching graphs of functions f, f', and f''. It explains how to determine a function's domain, range, asymptotes, symmetry, and periodicity. It details using the first and second derivatives to identify critical points, points of inflection, increasing/decreasing intervals, and concavity. The guide includes worked examples, practice questions, and a glossary of key terms.