Curves on a graph possess significant entities that reveal valuable information. Key points include inflection points, where concavity changes, and maximum/minimum points, representing extrema. The derivative and second derivative assist in identifying these points, while formulas provide precise calculations. Additionally, points of concavity indicate curvature changes, periodic curves exhibit repeating patterns, and the Serret-Frenet Frame aids in defining curvature and torsion. Other notable entities include slope, which describes the direction of a curve, convexity/concavity, normal vectors defining the perpendicular direction, and torsion measuring the twisting of a curve. These entities provide comprehensive insights into the behavior and characteristics of curves on a graph.
