To determine the range of the graph from the image, let's analyze its key features:

The range of a graph refers to the set of all possible $y$-values that the function can take.

Observations:

• The graph appears to represent a smooth curve with one closed point (solid) and one open point (hollow).
• The highest point on the graph occurs around $y = -4$.
• The lowest point occurs around $y = -10$.

Analyzing the endpoints:

• The leftmost part of the curve (solid dot) starts at $y = -7$, so $y = -7$ is included in the range.
• The rightmost part of the curve (open circle) stops at $y = -9$, meaning $y = -9$ is excluded from the range.

Thus, the range of the function is: $\boxed{[-10, -4]}$

This means the $y$-values range from $-10$ to $-4$, inclusive of both endpoints.

Do you need further clarification or more details?

Follow-up Questions:

1. How do we differentiate between closed and open points on a graph?
2. What is the significance of the range in real-world applications?
3. Can you explain how the behavior of the graph affects the range?
4. How would the range change if the graph extended vertically?
5. What is the domain of the graph shown?

Tip:

Remember that a closed dot on a graph includes the point in the range, while an open dot excludes it.