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We can easily see that the function $f\colon x\to x^2$ is not one-one or onto on the set of integers. Though it is one-one if defined on the set of positive integers. I wanted to know if the function is one-one or onto or both on a set of rational numbers, real numbers and complex numbers?

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    Well, either be more specific on this set you look for, or else just take $\{0\}$. Besides, the set of positive integers is also a set of rational, real or complex numbers.2012-08-28

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