Exploring Zeros of Rational Functions

This example demonstrates how to explore the zeros of rational functions using GeoGebra. It visually clarifies the distribution, variation patterns, and relationship with asymptotes of rational function zeros under different parameter settings. Core mathematical concepts include the definition of rational functions, zeros, asymptotes, and function graph transformations. Construction highlights involve GeoGebra commands like function plotting, parameterization, and dynamic adjustments to help learners intuitively understand function properties. Suitable for high school and above mathematics learners for understanding function characteristics and graph transformations.