Question

Which numbers belong to the range of the relation {(–2, 0), (1, 3), (–2, 3), (1, 0)}?

Choose all answers that are correct.

A.
–2

B.
0

C.
1

D.
3

Answer 1

Range means all the y values in the (x,y) coordinates.

In (-2,0) the 0 is the y value.
In (1,3) the 3 is the y value.
In (-2,3) the 3 is the y value.
In (1,0) the 0 is the y value.

So the y values we have in those points are 0 and 3.

The answer is B. 0 and D. 3.

Answer 2

If we had a few points in the form of (x,y), the domain would be all the x-values and the range would be all the y-values.

We have the following points given to us:
(-2,0)
(1,3)
(-2,3)
(1,0)

If we list all the x-values, we get:
-2, 1, -2, 1

Removing all the repeating numbers, we get:
1, -2

The domain is 1, and -2.

Now, to find the range, we shall list all the y-values:
0, 3, 0, 3

Removing the numbers that appear multiple amount of times, we are left with:
0, 3

Thus, the range is 0, and 3.


Your answers are B and D.