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Explain solution RD Sharma class 12 chapter Functions exercise 2.1 question 9 sub question (i) maths

Answers (1)

f is surjective.

Letf=\left \{ \left ( x,y \right ) \right \}:x is a person, y is the mother of x

Hint:

As for each element x in the domain set, there is a unique element y in the co-domain set.

So, f is a function.

Solution:

First we check for injection or one-one.

We know: For one-one,for  each element x in the domain set, there should be a unique element y in the co-domain set.

But here,y can be the mother of two or more persons.

So, f is not injective.

Again for surjective,

For every mother y defined by (x,y) , there exists a person x for whom y is mother.

So, f is surjective.

Hence, f is surjective function.

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