What is the range of this relation?

Question

(
–
3,
–
9)
(
–
8,4)
(
–
8,0)
(8,6)

Answer 1

The range of a relation is the set of all output values (or second elements) from the ordered pairs. Let's take a look at the given pairs:

1. \((-3, -9)\)
2. \((-8, 4)\)
3. \((-8, 0)\)
4. \((8, 6)\)

Now, we'll extract the second elements from each pair:

• From \((-3, -9)\), the second element is \(-9\).
• From \((-8, 4)\), the second element is \(4\).
• From \((-8, 0)\), the second element is \(0\).
• From \((8, 6)\), the second element is \(6\).

So the second elements (output values) are \(-9\), \(4\), \(0\), and \(6\).

Now we can list these values to determine the range:

\[ \text{Range} = {-9, 0, 4, 6} \]

Thus, the range of this relation is \({-9, 0, 4, 6}\).