https://file.aiquickdraw.com/mathbot/file/1729713277536zn2jiqka.jpg

Let's break down the question and graph shown in your image step by step:

### Part A: Finding the domain of the relation
- **Domain** refers to the set of all possible x-values (input values) for which the graph is defined.
- In the graph, it seems like the x-values range from around \(-10\) to \(10\), as the graph extends from left to right in this interval.
- Thus, the **domain** of the relation is: \([-10, 10]\).

### Part B: Finding the range of the relation
- **Range** refers to the set of all possible y-values (output values) that the graph attains.
- From the graph, the y-values appear to range from approximately \(-14\) to \(19\).
- Therefore, the **range** of the relation is: \([-14, 19]\).

### Part C: Determining if the graph is a function
- To determine whether the graph is a function, we use the **vertical line test**. If any vertical line crosses the graph more than once, then the graph is not a function.
- In this case, several vertical lines would intersect the graph at multiple points, which means that **the graph is not a function**.

### Conclusion:
- Domain: \([-10, 10]\)
- Range: \([-14, 19]\)
- The graph **is not** a function because it fails the vertical line test.

Let me know if you'd like more details or have any questions!

Here are five related questions:
1. What is the vertical line test, and how does it work?
2. How can you tell if a graph is a function based on its equation?
3. Can a graph have the same domain but a different range?
4. What types of graphs always represent functions?
5. How can you determine the domain and range of more complex graphs?

**Tip:** The vertical line test is a quick way to visually check if a graph represents a function. If any vertical line crosses the graph more than once, it's not a function!

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 find the domain and range of a relation from a graph, and use the vertical line test to determine whether the relation is a function. The problem includes concepts of functions, domain, range, and the vertical line test. Suitable for students in Grades 9-12.

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