Question

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

विकल्प

• 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.

Answer 1

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.