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A function f: x → y is/are called onto (or surjective) if x under f. -

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Question

A function f: x → y is/are called onto (or surjective) if x under f.

Options

  • every element of some element of 'x' under f.

  • for all y ∈ Y, there exista an element X in x such that f(x) = y.

  • both every element of some element of 'x' under f and for all y ∈ Y, there exista an element X in x such that f(x) = y.

  • 'f is also one – one function.

MCQ

Solution

both every element of some element of 'x' under f and for all y ∈ Y, there exista an element X in x such that f(x) = y.

Explanation:

A function f: x → Y is called onto, if every element of Y is the image of some element of x under f i.e., for all y ∈ Y, there exists an element 'x' in x such that f(x) = y.


Corresponding to each element of Y, there is a pre-image in X. Such a mapping is onto.

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