Piecewise Function and Definite Integral Visualization

This example demonstrates a piecewise-defined function composed of three sub-functions f, g, and h, along with the shaded area representing its definite integral over a specified interval. It illustrates key mathematical concepts: piecewise function construction, continuity considerations, and the geometric interpretation of definite integrals as signed area under the curve. Built in GeoGebra using conditional function definitions for f, g, and h, and the Integral command to visualize accumulated area. Suitable for high school calculus or introductory college-level mathematics courses focusing on function analysis and integration.