To analyze the graph and determine its domain and range:

1. Domain:

The domain represents all the possible $x$-values for which the function is defined. From the graph, the curve appears to extend horizontally from $x = -10$ to $x = 10$, covering all values in between.

• Domain: $[-10, 10]$

2. Range:

The range represents all the possible $y$-values that the function can take. From the graph, the lowest point of the curve reaches $y = -10$ and the highest point reaches $y = 9$.

• Range: $[-10, 9]$

So, the domain is $[-10, 10]$ and the range is $[-10, 9]$, both written in interval notation.

Do you have any questions or want more details? Here are some follow-up questions:

1. What would change the domain or range of a function?
2. How do we interpret the domain and range in real-world contexts?
3. What are the types of functions where the domain is restricted?
4. How do asymptotes affect the range of a function?
5. How can transformations (like translations or stretches) affect the domain or range of a graph?

Tip: Always inspect if the graph has any vertical asymptotes or discontinuities, as these will restrict the domain.