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Domain, Co-Domain And Range


If f A  B is a funciton, then A is called domain, B is called co-domain of f.

Range :

If f : A  B is a function, then set of all images of the elements of A is called range of f.

Range is a subset of the co-domain, i.e. f(A) 


Example :

If A = {1, 2, 3, 4}, B = {p, q, r} and f = (1, q), (2, q), (3, q), (4, q)}, then f is a function.
Domain = A, Co-domain = B.
Range of f = f (A) = {f(1), f(2), f(3), f(4)}
= {q, q, p, q} = {p, q}

∴ f(A) ⊆ B

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