Can a function be both injective and surjective? Yes, a function can be both injective and surjective. This type of function is called a bijective function, and it means that each element in the domain has a unique corresponding element in the range, and every element in the range has at...
In summary, an injective function is one where each input has a unique output, but not all outputs are covered by the function. For example, the function f(n)=3n defined on the set of natural numbers is injective, but not surjective, as there are some outputs (such as 1) that are ...
A bijection is different from other types of functions because it is both injective and surjective. This means that every element in the first set is mapped to a unique element in the second set, and every element in the second set is mapped to by at least one element in the first set...