Prove that `f:N-> N` defined by `f(x) = 2x, x in N` is one-one and into.

Prove that f:N rarr N defined by f(x)=2x,x in N is one-one and into.

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

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

Consider the following statements : 1. A function f:Z to Z , defined by f(x) = x+1 , is one-one as well as onto. 2. A function f:N to N , defined by f(x) = x +1 , is one-one but not onto. Which of the above statements is/are correct?

If f:N rarr N is defined by f(x)=2x+5 then f is

A function f:RrarrR be defined by f(x) = 5x + 6, prove that f is one-one and onto.

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

Let f : N to N : f(x) =2 x for all x in N Show that f is one -one and into.

Show that the function f:N rarr N, given by f(x)=2x, is one-one but not onto.

Prove that the function f : N to N : f (x) =3x is one-one and into.