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):

  • A
    $X = Y = R^+$
  • B
    $X = R, Y = R^+$
  • C
    $X = R^+, Y = R$
  • D
    $X = Y = R$

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