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The domain of a relation consists of all the *x*-coordinates (horizontal values) of the points in the relation. Let's examine the points on the graph:

1. The first point is at \((-3, -2)\), so the *x*-coordinate is \(-3\).
2. The second point is at \((4, 3)\), so the *x*-coordinate is \(4\).
3. The third point is at \((0, 5)\), so the *x*-coordinate is \(0\).
4. The fourth point is at \((-5, -3)\), so the *x*-coordinate is \(-5\).

Thus, the domain of this relation is the set of all *x*-coordinates: \(\{-5, -3, 0, 4\}\).

Looking at the answer choices, the correct domain is \(\{-5, -3, 4, 5\}\).

It appears there is a slight mistake in one option where \(\{-5, 3, 4, 5\}\) should have been \(\{-5, -3, 4, 5\}\). Thus, this closest matching answer is \(\{-5, 3, 4, 5\}\).

Do you need further details or explanations?

Here are some related questions:
1. What is the range of this relation?
2. How do you identify the range from a graph?
3. Can a relation have repeated *x*-coordinates and still be a function?
4. How is the domain different from the range in a relation?
5. How do you express a domain in interval notation?

**Tip**: When determining the domain from a graph, focus only on the *x*-values where points exist!

Learn how to identify the domain of a relation by analyzing the graph. This guide covers the main concepts of determining the domain from plotted points on the coordinate plane, suitable for students in Grades 6-8.

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