Let `f" ": N->N` be defined by `f(n)={(n+1)/2,""if""""n""""i s""""od d n/2,""if""""n""""i s""e v e n` for all `n in N` . State whether the function f is bijective. Justify your answer.

Let f" ": N->N be defined by f(n)={(n+1)/2,""if""""n""""i s""""odd" " n/2,""if""""n""""i s""e v e n for all n in N . State whether the function f is bijective. Justify your answer.

Let f: NvecN be defined by f(n)={(n+1)/2, "if" n "i s o d d"n/2, "if "n "i s e v e n" for a l l n N} Find whether the function f is bijective.

Let f:N->N be defined as f(n)= (n+1)/2 if n is odd and f(n)=n/2 if n is even for all ninN State whether the function f is bijective. Justify your answer

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

Let f:N rarr N be defined by f(x)=x^(2)+x+1,x in N. Then is f is

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

Show that f:n rarr N defined by f(n)={(((n+1)/(2),( if nisodd)),((n)/(2),( if niseven )) is many -one onto function

Let f:" "W ->W be defined as f(n)" "=" "n" "-" "1 , if is odd and f(n)" "=" "n" "+" "1 , if n is even. Show that f is invertible. Find the inverse of f. Here, W is the set of all whole numbers.

Let f: Nuu{0}->Nuu{0} be defined by f(n)={n+1,\ if\ n\ i s\ even\,\ \ \n-1,\ if\ n\ i s\ od d Show that f is invertible and f=f^(-1) .

Let f:N rarr N be defined by: f(n)={n+1,quad if n is oddn -1,quad if n is even Show that f is a bijection.