f(x)=x+1, when f: goes from A to B is: for every b of B there's an a of A?

Question

I don't know the word in english for that function's property, in spanish is "suprayectividad"

Answer 1

If I understand the question correctly, the answer is yes: the function is surjective. The domain and codomain both include all real numbers.

Answer 2

it is a one to one onto function also known as surjective function
In mathematics, a function f is said to be surjective if its values span its whole codomain; that is, for every y in the codomain, there is at least one x in the domain such that f(x) = y.

Said another way, a function f: X → Y is surjective if and only if its range f(X) is equal to its codomain Y. A surjective function is called a surjection, and said to be onto.

Answer 3

surjection