Exponential Functions and Their Inverses

This example demonstrates how the graph of an exponential function relates to the graph of its inverse by placing them side by side and revealing the key geometric correspondence (notably the mirror symmetry with respect to the line y = x). The main mathematical ideas are exponential functions, the concept and definition of an inverse function, and how swapping inputs and outputs affects the graph. From the construction summary, the diagram is assembled using GeoGebra objects such as a, g, h, and show to manage and display the visual elements, along with f and Funktion to define the function(s). Text1 is used to provide explanatory labels, making the relationship between the original function and its inverse easy to observe. Suitable for secondary-level advanced math through introductory university work, especially for lessons on function graphs, inverse functions, and graph-based reasoning.