Show that the function `f :N->Z`, defined by `f(n) =1/2(n-1)` when n is odd; -1/2 n when n is even is both one-one and onto

Show that the function f:N rarr Z, defined by f(n)=(1)/(2)(n-1) when n is odd ;-1/2 n when n is even is both one-one and onto

The function f:NrarrZ defined by f(n)=(n-1)/(2) when n is odd and f(n)=(-n)/(2) when n is even, is

Show that the function f : N rarr N defined by f(n){((n+1)/2 if n is odd),(n/2 if n is even):} is onto but not one-one.

Find the sequence of the numbers defined by a_n={1/n , when n is odd -1/n , when n is even

Find the sequence of the numbers defined by a_n={1/n , when n is odd -1/n , when n is even

Show that the function f:N to N defined by f(x)=2x-1 is one-one but not onto.

If f:NrarrZ f(n)={(n-1)/2; when n is odd =-n/2; when n is even Identify the type of function

If f:NrarrZ f(n)={(n-1)/2; when n is odd =-n/2; when n is even Identify the type of function

Prove that the function f: N->N , defined by f(x)=x^2+x+1 is one-one but not onto.

Prove that the function f: N->N , defined by f(x)=x^2+x+1 is one-one but not onto.