To determine the range of the given graph:

The range of a function is the set of all possible $y$-values (outputs) that the function can take. Looking at the graph:

1. The graph reaches a minimum value at approximately $y = -6$.
2. The graph reaches a maximum value at $y = 10$ at the open circle on the right end, indicating that $y = 10$ is not included in the range.
3. Therefore, the range of the graph is: $y \in [-6, 10)$

Would you like a detailed breakdown of how the minimum and maximum were determined or further explanation on the concept of the range?

Follow-Up Questions:

1. What is the domain of the given graph?
2. How do open and closed circles on graphs affect range and domain?
3. Can you determine if this graph represents a function? Why or why not?
4. What are the critical points (turning points) of the graph, and what do they signify?
5. How would the range change if the maximum point at $y = 10$ was closed (included)?

Tip:

When analyzing a graph, always check for open and closed endpoints to determine whether certain values are included in the domain or range.