To determine the domain and range of the function represented by the graph, let's analyze the graph step by step.

1. Domain:

The domain represents all possible $x$-values that the function can take. In this case, we observe the graph starts at $x = -4$ and ends at $x = 4$, with the function defined at every point in between.

So, the domain in interval notation is: $\text{Domain} = [-4, 4]$

2. Range:

The range represents all possible $y$-values that the function can take. From the graph:

• The lowest point on the graph occurs at $y = -4$.
• The highest point on the graph occurs at $y = 4$.

Thus, the range in interval notation is: $\text{Range} = [-4, 4]$

If you have any further questions or would like a more detailed explanation, feel free to ask!

Here are 5 follow-up questions to expand your understanding:

1. How would the domain change if the graph extended beyond $x = 4$?
2. What happens to the range if the graph had a higher or lower maximum and minimum value?
3. How do you determine if a function is continuous from its graph?
4. Can the domain or range ever be represented by a union of intervals?
5. What would the domain and range be for a vertical or horizontal line?

Tip: Always check the graph for open or closed circles to determine whether endpoints are included in the domain and range.