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 (ii)f:Z→Z 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: $(i) f : N \to N$ given by $f (x) = x^{2}$ $(i i) f : Z \to Z$ given by $f (x) = x^{2}$ $(i i) f : Z \to Z$ given by $f (x) = x^{2}$ $(i v) f : N \to N$ given by $f (x) = x^{3}$ $(v) f : Z \to Z$ given by $f (x) = x^{3}$

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 (ii)f:Z→Z 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:
$(i) f : N \to N$ given by $f (x) = x^{2}$

$(i i) f : Z \to Z$ given by $f (x) = x^{2}$

$(i v) f : N \to N$ given by $f (x) = x^{3}$

$(v) f : Z \to Z$ given by $f (x) = x^{3}$