Intersection and Optimization Problems Demo

This example demonstrates how to draw and interactively analyze the points of intersection of function graphs using GeoGebra, particularly involving complex functions like trigonometric and piecewise functions in optimization problems. Key math concepts include function graphing, intersection solving, trigonometric properties, piecewise function definitions, and optimization. Construction highlights use of GeoGebra commands/objects such as Polygon, Mirror, Circle, Center, Segment, Intersect to dynamically visualize function changes and intersection relationships. Suitable for high school and above mathematics education, focusing on function analysis, optimization problem solving, and visualizing geometric transformations.