This series of posts covers various types of mathematical functions and their key properties. It starts with an introduction to functions and their notation, discussing domain, range, and inverse functions. Following that, it explores polynomial functions, including factors, roots, and maximum/minimum values. The series also delves into rational functions, covering domain restrictions, asymptotes, and simplifying expressions. Then, it discusses exponential and logarithmic functions, their properties, and applications in growth and decay scenarios. Finally, it focuses on trigonometric functions, their graphs, identities, and applications in geometry and physics.