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!