Check the injectivity and surjectivity of the following functions:(i) `f : N ->N`given by `f(x)=x^2`(ii) `f : Z-> Z`given by `f(x)=x^2`(iii) `f : R ->R`given by `f(x)=x^2`(iv) `f : N-> N`given by `f(x)=x^3`(v) `f : Z ->

Answer

(i) Injective but not surjective
(ii) Neither injective nor surjective
(iii) Neither injective nor surjective
(iv) Injective but not surjective
(v) Injective but not surjective