Identify the type of function `f:N to Z` defined by `f(n)=(n-1)/(2)` when n is odd and `f(n)=(-n)/(2)` when n is even

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

A function f from the set of natural number to integers defined by f(n)={{:(,(n-1)/(2),"when n is odd"),(,-(n)/(2),"when n is even"):}

If f:N rarr N is defined by f(n)=n-(-1)^(n), then

The function f:N rarr N given by f(n)=n-(-1)^(n) is

Let f:N to Z and f (x)=[{:((x-1)/(2),"when x is odd"),(-(x)/(2),"when x is even"):}, then:

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

Let f: N to N be defined by f(x) = x-(1)^(x) AA x in N , Then f is

Find the sequence of the numbers defined by a_(n)={{:(1/n,"when n is odd"),(-1/n,"when n is even"):}

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