Injective, surjective, bijective definitions (One-one: distinct inputs → distinct outputs; Onto: every codomain)

jee-mainjee-advanced

One-one: distinct inputs → distinct outputs; Onto: every codomain element hit; Bijective: both

What each symbol means

SymbolWhat it stands for
XDomain
YCodomain
fFunction X → Y

When to use this

Functions as per JEE set-theoretic definition f ⊆ X×Y with unique second coordinate for each x ∈ X.