Which of the following functions are injective and surjective? : `f : W rarr W, f(n)= {(n+1 if n is even),(n-1 if n is odd):}`

Which of the following functions are injective and surjective? : f : N rarr N,f(x)=x^2

Which of the following functions are injective and surjective? : f : Z rarr Z,f(x)=x^2

Which of the following functions are injective and surjective? : f : Z rarr Z,f(x)=x^3

Which of the following functions are injective and surjective? : f : N rarr N,f(x)=x^2+x+1

Determine whether the following functions are onto or not : f : N rarr N, f(x)=4x

Examine whether the following functions are one-one and onto : f : N rarrN,f(x)=2x for all x in N

Find the first three terms of the sequences whose nth term are given below a_n={(1/n if (n) is even),(2/n if (n) is odd):}

Find the first three terms of the sequences whose nth term are given below a_n={(n if n is odd),(n+1 if n is even):}

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.

Can we say that if a perfect square is of n-digits, then its square root will have frac(n)(2) digits if n is even or frac(n+1)(2) if n is odd?