https://file.aiquickdraw.com/mathbot/file/17265349101335ylxzv6h.jpg

Let's analyze the graph in your image to solve the problem.

### Steps:
1. **Domain**: The domain is the set of all possible \(x\)-values (input values) where the relation is defined. From the graph, the red points represent the relation, so we identify the \(x\)-coordinates of these points.
   
   Observing the graph, the \(x\)-coordinates are:
   - \(x = -4\)
   - \(x = -2\)
   - \(x = 0\)
   - \(x = 2\)
   - \(x = 4\)

   So, the domain is:
   \[
   \text{Domain} = \{-4, -2, 0, 2, 4\}
   \]

2. **Range**: The range is the set of all possible \(y\)-values (output values) where the relation is defined. We now identify the \(y\)-coordinates of the red points.
   
   The \(y\)-coordinates are:
   - \(y = 2\)
   - \(y = 4\)
   
   So, the range is:
   \[
   \text{Range} = \{2, 4\}
   \]

3. **Function Check**: A relation is a function if each \(x\)-value has only one corresponding \(y\)-value. In this case, all the \(x\)-values map to only one \(y\)-value each. There are no repeated \(x\)-values with different \(y\)-values.

   Therefore, **this relation represents a function**.

### Summary:
- **Domain**: \(\{-4, -2, 0, 2, 4\}\)
- **Range**: \(\{2, 4\}\)
- The relation **is a function**.

Would you like further clarification or more details? Here are some related questions for additional practice:

1. How do you identify the range of a relation if the graph is not provided?
2. What is the difference between a relation and a function?
3. Can a relation have a repeated \(y\)-value and still be a function?
4. How do you determine if a graph fails the vertical line test?
5. Can a function have gaps in its domain, and how does that affect its range?

**Tip**: To check if a relation is a function, always apply the vertical line test. If any vertical line intersects the graph at more than one point, the relation is not a function!

Find the domain and range of the given relation, and determine whether the relation represents a function.

Learn how to find the domain and range of a given relation, and determine if the relation represents a function using the vertical line test. This example is suitable for students in Grades 7-10.

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