Q. 10 D3.7( 3 Votes )

Is the given rela

Answer :

Given: s = {(n, n2) | n is a positive integer}

To find: whether the given relation is a function with proper reason

Explanation: the given relation is s = {(n, n2) | n is a positive integer}

Here it can be seen that element n is a positive integer and the corresponding n2 will be a unique and distinct number, as square of any positive integer is unique. Therefore, every element in the domain has unique image.

And a relation is said to be function if every element of one set has one and only one image in other set.

So, s is a function

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