Real Functions: Definitions and Properties

This lecture covers the definitions and basic properties of real functions, including domains, images, graphs, and monotonicity. It also explores the concepts of even and odd functions, periodicity, and boundedness. The lecture delves into the concepts of maximum, minimum, and local extrema, as well as the composition of functions and bijectivity. Additionally, it discusses the inverse functions of trigonometric functions and their domains. The lecture concludes with examples and calculations related to the reciprocity of functions.