Question

What is the range of this relation?
(8,
–
9)
(
–
9,8)
(2,10)
(
–
8,8)
(
–
4,
–
8)
(2,7)

Answer 1

To find the range of the given relation, we need to identify the set of all possible output values (the second elements of the ordered pairs).

The ordered pairs in the relation are:
1. (8, -9)
2. (-9, 8)
3. (2, 10)
4. (-8, 8)
5. (-4, -8)
6. (2, 7)

Now, let's list the second elements (outputs) of each ordered pair:
- From (8, -9), the output is -9.
- From (-9, 8), the output is 8.
- From (2, 10), the output is 10.
- From (-8, 8), the output is 8.
- From (-4, -8), the output is -8.
- From (2, 7), the output is 7.

Now, combining these outputs gives us the set:
-9, 8, 10, 8, -8, 7.

Now, let's remove any duplicates from this set:
-9, -8, 7, 8, 10.

Thus, the range of the relation is:
\[
\{-9, -8, 7, 8, 10\}
\]