Function research focuses on studying the behavior and properties of functions in mathematics. This research area involves analyzing different types of functions, such as linear, quadratic, exponential, trigonometric, and logarithmic functions, to understand their characteristics, patterns, and relationships. Researchers in this field investigate functions' domain and range, behavior at critical points, symmetry, continuity, and differentiability, among other properties. Function research is essential for various applications in fields such as engineering, physics, economics, and computer science.