To determine the range of the given graph, we need to look at the minimum and maximum $y$-values that the graph reaches.

Observations from the graph:

1. The graph appears to have two clear endpoints:

   • The leftmost endpoint is at $(-10, 0)$, indicating a $y$-value of $0$.
   • The rightmost endpoint is at $(3, 5)$, indicating a $y$-value of $5$.

2. The graph also has a local maximum at around $(-7, 6)$, indicating a $y$-value of $6$, and a local minimum at approximately $(0, -3)$, indicating a $y$-value of $-3$.

Conclusion:

The range of the graph consists of all $y$-values from the lowest point, $-3$, to the highest point, $6$. Therefore, the range is:

$\boxed{[-3, 6]}$

Let me know if you want more details or have any questions!

Related Questions:

1. How do we define the domain of a graph?
2. What is the significance of local maxima and minima in determining the range?
3. How can we identify endpoints on a graph, and why are they important for range?
4. How does one determine the range of a function algebraically without a graph?
5. How can finding the range help in understanding the behavior of a function?

Tip: When identifying the range, always look for the highest and lowest $y$-values, including both peaks and valleys (local maxima and minima) and endpoints of the graph.