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

Let X and Y be sets, f be the function f : XY, 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 AX under f is the subset of Y defined by

f[A] = {yY | y = f(x) for some xA}.

See also