Q. 14.8( 4 Votes )

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

f : N N : f(x) = 2x is

A. one - one and onto

B. one - one and into

C. many - one and onto

D. many - one and into

Answer :

f(x) = 2x


For One - One


f(x1) = 2x1


f(x2) = 2x2


put f(x1) = f(x2) we get


2x1 = 2x2


Hence, if f(x1) = f(x2), x1 = x2


Function f is one - one


For Onto


f(x) = 2x


let f(x) = y, such that yN


2x = y



If y = 1


x =


which is not possible as xN


Hence, f is not onto., f is into


Hence, option b is correct

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