1. **Problem Statement:** Determine the range of the graph described. 2. **Understanding the Graph:** The graph starts at $(-5,6)$ with an open circle, goes down to about $(-2.5,-2.5)$, rises to a peak near $(7,7)$, and ends at $(11,0)$ with an open circle. 3. **Key Points:** Open circles at $y=6$ and $y=0$ mean these values are not included in the range. 4. **Range Definition:** The range is the set of all $y$-values the function takes. 5. **From the description:** - The lowest $y$-value reached is about $-2.5$ (rounded to $-2$ as per the problem statement). - The highest $y$-value reached is $7$ (peak). - The values $6$ and $0$ at the endpoints are not included due to open circles. 6. **Conclusion:** The range is all $y$ such that $$-2 < y \leq 7$$ excluding $6$ and $0$ which are not in the range. Since $6$ and $0$ are isolated points at the ends and the graph passes through values between $-2$ and $7$ continuously, the range is: $$\boxed{(-2,7]}$$ This means $y$ takes all values greater than $-2$ up to and including $7$, but does not include $6$ or $0$ as exact values at the endpoints.