Functions
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
| Injective | ∀ a, b ∈ X: f(a) = f(b) ⇒ a = b |
| Surjective | ∀ b ∈ Y: ∃ a ∈ X: f(a) = b |
| Bijective | ∀ b ∈ Y: ∃ !a ∈ X: f(a) = b |
Result
dom(f) =
im(f) =
injective:
surjective:
bijective:
f-1 = {}
dom(f-1) =
im(f-1) =