Explain solution RD Sharma class 12 chapter Functions exercise 2.1 question 9 sub question (i) maths
f is surjective.
Let is a person, y is the mother of x
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.
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.