Une Application Surjective. De y donc f x diff de f y car f injective. A function is surjective or onto if each element of the codomain is mapped to by at least one element of the domain.
Y y x x f x y. De y donc f x diff de f y car f injective. The formal definition is the following.
1 soient x et y éléments de a et b et x différent de y x diff.
Displaystyle forall y in y quad exists x in x quad f x y. Z z defined by f n 2 n f n 2n f n 2 n is not surjective. In other words each element of the codomain has non empty preimage. Exercices de mathématiques pour les étudiants.