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Check the injectivity and surjectivity of the following functions :
(i) f : N → N given by f (x) = x2(ii) f : Z → Z given by f (x) = x2(iii) f : R → R given by f (x) = x2 (iv) f : N → N given by f (x) = x3(v) f : Z → Z given by f (x) = x3