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

g = is a positive integer

Given: is a positive integer

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

Explanation: the given relation is is a positive integer

Here it can be seen that element n is a positive integer and the corresponding will be a unique and distinct number. 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, g is a function