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  4. A function f: X arrow Y is said to be onto, if for every y ∈ Y there exists an element x in X such that

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Q. A function $f : X \rightarrow Y$ is said to be onto, if for every $y \in Y$ there exists an element $x$ in $X$ such that

Relations and Functions - Part 2

Solution:

A function $f : X \rightarrow Y$ is said to be onto (or surjective), if every element of $Y$ is the image of some element of $X$ under $f$ i.e., for every $y \in Y$, there exists an element $x$ in $X$ such that $f(x)=y$