" Q.19"|" Let "f:N rarr" N be defined by "f(n)={[(n+1)/(2),," if "n" is odd "],[(n)/(2),," if "p" is even "]

Let f: N rarr N be defined by : f(n) = {:{((n+1)/2, if n is odd),(n/2, if n is even):} then f is

Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" if n is even"):} then f is

Let f:NtoN defined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if n is even"):}

Let f : N rarr N be defined by f(n) = {{:((n+1)/(2), if "n is odd"),((n)/(2),"if n is even"):} Show that f is many one and onto function.

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

Let f: N to N be defined by f (n) = {{:((n +1)/( 2 ), if n " is odd" ), ( (n)/(2), "if n is even "):} for all n in N. State whether the function f is bijective. Justify your answer.

Let : f: N rarr N be defined by f(n)={{:((n+1)/2," if n is odd"),(n/2," if n is even"):} for all n inN . State whether the function f is bijective . Justify your answer.