(Solved):   All but two of the following statements are correct ways to express the fact that a functi ...

 

All but two of the following statements are correct ways to express the fact that a function \( f \) is onto. Select the two that are incorrect. \( f \) is onto \( \Leftrightarrow \) every element in its co-domain is the image of some element in its domain. \( f \) is onto \( \Leftrightarrow \) every element in its domain has a corresponding image in its co-domain. \( f \) is onto \( \Leftrightarrow \forall y \in Y, \exists x \in X \) such that \( f(x)=y \) \( f \) is onto \( \Leftrightarrow \forall x \in X, \exists y \in Y \) such that \( f(x)=y \). \( f \) is onto \( \Leftrightarrow \) the range of \( f \) is the same as the co-domain of \( f \).