How do you know if something is injective?
How do we determine whether a function is injective? Could you please explain the process in a clear and concise manner? What properties or characteristics should we look for to make this assessment? Is there a specific mathematical test or criterion that can help us in this endeavor? Additionally, could you provide an example of a function that is injective and another that is not, to illustrate the concept further? I'm particularly interested in understanding the logic behind the determination and how it applies to various functions.