A Game with Rational Functions: Interactive Exploration of Graphs and Transforma

① This interactive game lets users manipulate rational functions and their graphs, observing dynamic changes under geometric transformations. ② Core math concepts include rational functions, function graphs, definite integrals, geometric transformations (translation, rotation, scaling), and introductory fractal geometry, along with analysis of intersections between lines and function curves. ③ Construction highlights: Based on the construction summary, the example uses GeoGebra commands 'linear' and 'Element', creating multiple objects (which, F, E, h, D, C, g, B, A, f, list1, a, etc.) with buttons (button1) and texts (text1-text14) to drive interactivity, likely via sliders or buttons controlling parameters for dynamic graph changes and game-like challenges. ④ Suitable for high school to university-level mathematics, especially in units on functions and transformations, serving as a classroom demonstration or self-guided exploration tool to intuitively understand rational function properties and geometric transformations.