Domain & Range

Abstract

This project explores the fundamental roles of domain and range in the analysis of mathematical functions within the context of Calculus. By identifying the set of possible inputs and resulting outputs, we examine how restrictions, such as non-negative radicands and non-zero denominators, determine the continuity and differentiability of a function. The study highlights how understanding these boundaries is essential for sketching accurate graphs, evaluating limits, and solving real-world optimization problems where physical constraints define the functional limits.

Research Team