To determine the domain and range of the function represented by the graph, we need to analyze the graph.

Domain:

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

From the graph:

• The function is defined for all x-values from $-10$ to $10$.

Thus, the domain is: $\text{Domain} = [-10, 10]$

Range:

The range of a function is the set of all possible output values (y-values) the function can take.

From the graph:

• The lowest y-value appears to be around $-25$.
• The highest y-value appears to be around $15$.

Thus, the range is: $\text{Range} = [-25, 15]$

Would you like further details or have any questions about this graph?

Here are 8 related questions to expand on this information:

1. What are the x-intercepts of the function?
2. What are the y-intercepts of the function?
3. Identify the intervals where the function is increasing.
4. Identify the intervals where the function is decreasing.
5. Find the local maximum and minimum points.
6. Determine if the function has any symmetry (odd, even, or neither).
7. Identify any inflection points in the function.
8. Discuss the end behavior of the function as $x$ approaches the endpoints of the domain.

Tip: When analyzing graphs of functions, it is helpful to look for key features such as intercepts, intervals of increase/decrease, and points of inflection to fully understand the behavior of the function.