From the image, you are being asked to determine the domain and range of the given graph of a function. Let's analyze it:

Domain:

The domain of a function refers to all possible values of $x$ for which the function is defined. Observing the graph:

• The graph starts at $x = -5$ and extends to $x = 6$.
• There are no breaks or undefined points within this interval.

Therefore, the domain of the function is: $[-5, 6]$

Range:

The range refers to all possible values of $y$ that the function can take. Observing the graph:

• The lowest point on the graph is at $y = -10$.
• The highest point on the graph is at $y = 10$.
• There are no gaps in the $y$-values within this interval.

Therefore, the range of the function is: $[-10, 10]$

If you have further questions or would like me to verify the details, please let me know.

5 Additional Questions

1. What is the significance of finding the domain and range of a function?
2. How would you determine the domain and range if the graph had vertical asymptotes?
3. Can a function have more than one range value for a given domain value?
4. What is the interval notation, and how does it differ from set notation?
5. How can you tell if a graph represents a function using the vertical line test?

Tip:

When identifying the domain and range from a graph, always look out for discontinuities, such as holes or vertical asymptotes, as they can restrict the domain and range.