1. Domain:

The domain of the graph includes all the x-values where the graph exists. From the image, the graph starts at $x = -4$ and ends at $x = 4$, with open circles at these points, indicating that the endpoints are not included in the domain.

Domain in set-builder notation: $\{ x \in \mathbb{R} \mid -4 < x < 4 \}$

2. Range:

The range of the graph includes all the y-values that the graph reaches. The graph extends vertically from $y = -5$ to $y = 5$, with open circles at these points, meaning these values are not included in the range.

Range in set-builder notation: $\{ y \in \mathbb{R} \mid -5 < y < 5 \}$

3. Is the Graph a Function?:

To determine if the graph is a function, use the Vertical Line Test. Each vertical line drawn through any x-value in the domain intersects the graph at exactly one point, which means the graph passes the Vertical Line Test.

Answer: Yes, the graph is a function.

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Would you like more details or have any questions about this? Here are some related questions:

1. How do you interpret open and closed circles in the context of domain and range?
2. Can you describe the significance of the endpoints in determining whether a graph is a function?
3. What is the difference between continuous and discrete functions?
4. How does the shape of a piecewise linear function affect its domain and range?
5. Can you explain how to identify intervals of increase and decrease in a graph?

Tip: Open circles on a graph indicate that the specific point is not included in the function's domain or range, while closed circles indicate inclusion.