Q2 of 99 Page 59

Mark (√) against the correct answer in the following:

f : N → N : f(x) = x2 + x + 1 is


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

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