Demonstrating Problem Solving with Written Inverse Functions

This GeoGebra example illustrates the workflow of writing and using inverse functions to solve problems, emphasizing the diagrammatic intuition behind mapping values between a function’s input/output domains. It focuses on key concepts such as functions, inverse functions, and the idea of translating a problem’s conditions through the inverse relationship (typically under one-to-one correspondence). Construction-wise, the example relies on creating and formatting a rotated label: it uses the object text3 together with the command \rotatebox{90}{\text{label}} to rotate the label text for clearer placement and emphasis on the diagram. The template is suitable for upper-secondary and introductory college algebra courses, especially when teaching inverse-function interpretation, inverse-based solving strategies, and classroom visualization.