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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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