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The problem asks to find the domain and range of the relation shown in the graph and to determine if it represents a function using the vertical line test.

### Step 1: Vertical Line Test
The vertical line test determines whether a graph represents a function. A graph is a function if no vertical line intersects the graph at more than one point. In this graph, there appears to be a horizontal line, which would pass the vertical line test because any vertical line would only touch it once. Therefore, the graph represents a function.

### Step 2: Domain of the Relation
The domain is the set of all possible values of \( x \) (horizontal axis) for which the graph exists.

- From the graph, the horizontal line stretches between \( x = -10 \) and \( x = 10 \).
- Therefore, the domain is the interval \( [-10, 10] \).

So, the correct answer for the domain (Choice B) is:
\[ [-10, 10] \]

Would you like details on the range, or do you have any other questions?

### Related Questions:
1. What is the range of this function?
2. Can a horizontal line ever fail the vertical line test?
3. How do you find the range from a graph?
4. What is the difference between a relation and a function?
5. How do you write a domain in set notation?

**Tip:** When analyzing a graph, always carefully observe the points where the graph begins and ends to determine the domain and range.

Find the domain and the range of the relation shown on the graph. Use the vertical line test to determine whether the graph is the graph of a function.

Learn how to determine the domain and range of a graph and use the vertical line test to identify if it represents a function. The problem involves analyzing a relation graph with horizontal boundaries at x = -10 and x = 10.

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