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

t = {(x, 3) | x is a real number.

Given: t = {(x, 3) | x is a real number.

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

Explanation: the given relation is t = {(x, 3) | x is a real number

Here it can be seen that the domain element x is a real number. And range just has one number i.e., 3 in it. So for every element in the domain has the image 3, it is a constant function.

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

So, t is a function