Visualizing Growth and Decay with Exponential Models

This GeoGebra example demonstrates how to visually represent growth and decay behavior, typically via exponential growth and exponential decay models. It centers on core ideas of exponential functions, how key parameters control the growth/decay rate, and how the curve’s shape reflects monotonicity and changing trends as the input variable varies. The provided construction summary is empty, so the exact GeoGebra commands/objects cannot be extracted; however, the intended construction for a “Representations of Growth and Decay” lesson is to build a function-based graph (and optionally compare multiple parameter choices) to make the differences in curve behavior immediately visible. Suitable for late secondary school through pre-university learning, classroom demonstrations, and introductory modeling activities.