State the domain and range of the given relation. { (-1,2), (1,2), (3,2), (6,2) }

Step-by-step explanation: In this problem, we're asked to state the domain and range for the following relation { (-1,2), (1,2), (3,2), (6,2) }.

Let's go over a few vocabulary words and

these are domain, range, and relation.

So let's start with the word relation.

A relation is simply a set of ordered pairs like you see here.

The domain is the set of all x-coordinates for those ordered pairs.

So in this case, the domain is - 1, 1, 3, and 6.

We can write this as {-1, 1, 3, 6}.

The range is the set of all y-coordinates for those ordered pairs.

So in this case our range is 2, 2, 2, and 2.

Notice that the y-coordinate of 2 is

repeated in three of our ordered pairs.

In this situation, we only need to mention it once in our range.

So our range is {2}.