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

(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