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

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

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):}

Examine whether the following functions are one-one or not : f : Z rarr Z, f(x) = x^2+5

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

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

Determine whether the following functions are onto or not : f : R rarr [-1,1], f(x)=sinx

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

Examine whether the following functions are one-one or not : f : R-{3} rarr R, f(x)=(5x+7)/(x-3)