Bijective Functions

This lecture covers the concept of bijective functions, which are functions that are both injective and surjective. It explains the definitions and properties of bijective functions, emphasizing the importance of having a one-to-one correspondence between the domain and the codomain. The lecture also discusses examples of functions that are not bijective, illustrating cases where functions are either not injective or not surjective. Additionally, it explores the restriction and extension of functions, highlighting the process of defining a function based on its graph. The lecture concludes by examining the graph of a function as a fundamental representation of its behavior.