The image shows a math problem involving a graph of a function, where the task is to determine the domain and range of the function.

Domain:

• The domain refers to all the possible input values (x-values) for the function. Based on the graph, the function starts around $x = -4$ and continues up to $x = 4$.

Thus, the domain seems to be approximately: $\text{Domain} = [-4, 4]$

Range:

• The range refers to all the possible output values (y-values) for the function. From the graph, the function appears to range from $y = -2$ to $y = 4$.

Therefore, the range is approximately: $\text{Range} = [-2, 4]$

Let me know if you'd like a more detailed breakdown or clarification. Here are five related questions to expand on this topic:

1. How do we determine the domain of a function algebraically?
2. What are the differences between the domain and range of a function?
3. How can you express a domain and range when the function has undefined points?
4. What is the significance of the range when dealing with inverse functions?
5. How does the graph of a function change the interpretation of its domain and range?

Tip: When identifying the domain and range from a graph, always look for the extreme points of the curve on both the x-axis and y-axis.