Piecewise Functions: Continuity & Differentiability by Terri Rehner

Explore piecewise functions to investigate their continuity and differentiability at various points, including types certainly such as jump, asymptotic, and removable. The GeoGebra construction uses the If command and LaTeX for defining functions p(x) and f(x), with interactive buttons to switch between problems. Core concepts cover continuity, derivative existence, and discontinuity classification. Designed for high‑school or early university calculus courses, this example provides a visual and interactive way to understand continuity in differential calculus.