Define surjective function. Give an example of function.

Every element of the range set is a co-domain, hence the surjective function is defined with reference to the elements of the range set.

Every element of the range set is a co-domain, hence the surjective function is defined with reference to the elements of the range set.

A surjective function has an image that is the same as its co-domain.

A surjective function's range, co-domain, and image are all the same.

We may also argue that a surjective function is an onto function if every y ∈ co-domain has at least one pre-image x ∈ domain andf(x) = y.

Let's have a look at surjective function in more detail.

Assume A = {1, -1, 2, 3} and B{1, 4, 9}.

Because each element of B has at least one pre-image in A, f :A→B:f(x) = x² is surjective.

A surjective function is one in which each element in the domain of B has at least one element in the domain of A, resulting in f(A) = B.

Example: f :A→B:f(x) = x² is surjective.