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

Domain:

The domain represents the set of all possible input values (x-values) for which the function is defined. In this graph, we can see that the function extends from $x = -10$ to $x = 9$. There are no breaks or discontinuities, so the domain is the continuous interval between these two values.

Domain in interval notation:
$[-10, 9]$

Range:

The range represents the set of all possible output values (y-values) that the function can take. From the graph, the function's lowest point is $y = -5$, and its highest point is $y = 9$. The function covers all y-values between these points.

Range in interval notation:
$[-5, 9]$

Would you like more details on how to find the domain and range, or have any other questions?

Follow-up questions:

1. What is the domain of a quadratic function?
2. How does the range differ for continuous and discrete functions?
3. How can we determine the domain if the function includes a square root?
4. How do vertical and horizontal asymptotes affect the range of a function?
5. Can a function have an unbounded range?

Tip: The domain of a function is found by observing the horizontal span of the graph, while the range is found by observing the vertical span.