Image

Image (Fr); Immagine (It); 像 (Ja); صورة (Ar).

Let X and Y be sets, f be the function f : X → Y, and x be some member of X. Then the image of x under f, denoted f(x), is the unique member y of Y that f associates with x.

The image of a subset A ⊆ X under f is the subset of Y defined by

f[A] = {y ∈ Y | y = f(x) for some x ∈ A}.

See also

• Automorphism
• Group isomorphism