Let's analyze the graph to determine the domain and range.

Domain

The domain of a function represents all the possible values of $x$ for which the function is defined.

• Looking at the graph, the curve starts at $x = -10$ and goes up to $x = 10$.
• At $x = -10$, there is a filled circle, meaning the function is defined at that point.
• At $x = 10$, there is an open circle, indicating that the function is not defined at $x = 10$.

Thus, the domain of the function is: $\boxed{[-10, 10)}$

Range

The range of a function represents all the possible values of $y$ that the function can take.

• The graph shows that the lowest point is at $y = -10$ and the highest point is $y = 5$.
• The function takes values from $y = -10$ to $y = 5$, but at $y = 5$, there is an open circle, meaning the function does not include $y = 5$.

Thus, the range of the function is: $\boxed{[-10, 5)}$

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

Here are 5 related questions to expand your understanding:

1. How does the graph of a piecewise function differ from a continuous one?
2. How do open and closed circles on a graph impact the domain and range?
3. How can you find the intervals of increase and decrease from the graph?
4. How does the vertex of the curve relate to the function's minimum or maximum value?
5. How would the domain change if the open circle at $x = 10$ were closed?

Tip: Always pay attention to open and closed circles on a graph as they indicate whether the endpoints are included in the domain and range!