Dynamic Function Plotting and Geometric Construction

This example demonstrates the dynamic generation and relationship between function graphs and geometric shapes. It covers core mathematical concepts such as functions, vectors, geometric centers, and calculus. The construction utilizes GeoGebra commands including Point, Sequence, PolyLine, Segment, and Textfield, along with input boxes and text objects for interactivity. It is suitable for high school and early university mathematics and calculus visualization teaching.