Categories > fun-lim > Functions > Let X and Y be subsets of R, the set of all real numbers. The function $f:X\to Y$defined by $f(x)={{x}^{2}}$ for $x\in X$ is one-one but not onto if (Here ${{R}^{+}}$ is the set of all positive real numbers)

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Question: Let X and Y be subsets of R, the set of all real numbers. The function $f:X\to Y$defined by $f(x)={{x}^{2}}$ for $x\in X$ is one-one but not onto if (Here ${{R}^{+}}$ is the set of all positive real numbers)


1) $X=Y={{R}^{+}}$
2) $X=R,\ Y={{R}^{+}}$
3) $X={{R}^{+}},\ Y=R$
4) $X=Y=R$
Solution: Explanation: No Explanation
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