Is the given relation a function? Give reasons for your answer.

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

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