Mark (√) against the correct answer in the following: f : N → N : f(x) = x 2 + x + 1 is

Question

Philoid · Accepted Answer

In the given range of N f(x) is monotonically increasing.

∴f(x) = x² + x + 1 is one one.

But Range of f(n) = [0.75,∞)≠N(codomain)

Hence, f(x) is not onto.

Hence, the function f : N → N : f(x) = (x² + x + 1) is one - one but not onto. i.e. into