Examine Continuity of Piecewise Function

This example demonstrates how to use GeoGebra to explore the continuity of piecewise functions. It visually illustrates the concept of continuity and discontinuity across different intervals of a function. Key math concepts involved include function definition, continuity tests, limits, and curve sketching. The construction uses GeoGebra commands like If and objects such as f, A, D, B, C, DragMe, E to dynamically adjust and display the function's graph and critical features. Suitable for high school and introductory college calculus students learning about function analysis.