Desmos Demonstration with Shared Graph | Function Operations and Compositions

In this video, I explore function operations and compositions in Desmos, demonstrating how to add, subtract, multiply, and divide functions while verifying algebraic results with graphs. I also show how to plot holes in rational functions, define nested functions, and use tables to evaluate function compositions. This tutorial provides a step-by-step breakdown of function manipulation and visualization, making it a useful reference for anyone studying algebraic operations on functions, rational function discontinuities, and function compositions. Desmos Graph: https://www.desmos.com/calculator/bfhxj1q0dq Companion document (includes transcript & inputs): https://tinyurl.com/3jajv9e3 Topics Covered: Introduction (0:00) Line styles and colors (1:00) Evaluating function combinations using tables (1:33) Checking algebraic results with graphs (4:30) Plotting holes in rational functions (5:50) Using nested functions to plot and evaluate compositions (8:27) This demonstration walks through function operations and compositions in Desmos, reinforcing how to verify algebraic work using graphical methods. Subscribe for more math tutorials, and leave a comment if there’s a specific topic you’d like covered!