Question

Use the relation {(-3, 1), (-2, 0), (1, 2), (3, -4), (-3, 5)} which lists the correct doma

Answer 1

To find the correct domain of the given relation \(\{(-3, 1), (-2, 0), (1, 2), (3, -4), (-3, 5)\}\), we need to identify all the unique first elements (or inputs) from each ordered pair.

The pairs in the relation are:
- \((-3, 1)\)
- \((-2, 0)\)
- \((1, 2)\)
- \((3, -4)\)
- \((-3, 5)\)

Now, let's extract the first elements:
- The first element of \((-3, 1)\) is \(-3\).
- The first element of \((-2, 0)\) is \(-2\).
- The first element of \((1, 2)\) is \(1\).
- The first element of \((3, -4)\) is \(3\).
- The first element of \((-3, 5)\) is \(-3\) (but it is already counted).

Now, combining these unique first elements, we have:
\[
\{-3, -2, 1, 3\}
\]

Thus, the domain of the relation is:
\[
\{-3, -2, 1, 3\}
\]