The problem in the image asks to determine the domain and range of the graph.

From the image, the graph seems to show a continuous function, but there are no specific details about the curve. However, I can guide you through the general approach to find the domain and range:

Domain:

• The domain refers to all the possible x-values for which the graph exists.
• In this case, it looks like the graph covers the x-axis from approximately $-10$ to $10$, so the domain would be: $\text{Domain}: [-10, 10]$

Range:

• The range refers to all the possible y-values that the graph takes.
• The graph seems to extend vertically from $-10$ to $10$, so the range would be: $\text{Range}: [-10, 10]$

Would you like more details on how to analyze the domain and range from graphs?

Here are 5 questions to deepen your understanding:

1. What does it mean for a function to be "continuous" on a graph?
2. How does the domain differ for functions with breaks or gaps?
3. How do you handle the domain and range for functions like square roots or logarithms?
4. Can the range of a function ever exceed the domain? In what cases?
5. How would you calculate the domain and range for a function defined by an equation rather than a graph?

Tip: When analyzing graphs, always check for open circles or asymptotes that might affect the domain or range.