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Question is

 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

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