Check the injectivity and surjectivity of the following functions: (i)

1.	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
Answer» 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

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

Answer»

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