Injective and Surjective Functions

Injective functions

A function is injective if every element of the domain maps to a unique element of the codomain. This means that if a function is injective, no two elements from the domain can map to the same element in the codomain. For example, if we consider $f: A\to B$ to be an injective function, then by definition, for any two elements $a,b$ from $A$ such that $a\ne b$, we have $f(a) \ne f(b)$ ...