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 <em>domain</em>, <em>range</em>, and <em>relation</em>.
So let's start with the word <em>relation</em>.
A <em>relation</em> is simply a set of ordered pairs like you see here.
The <em>domain</em> 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 <em>range</em> 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}.