The image shows a graph, and the question asks to determine the range of the graph.

Steps to Determine the Range:

1. Identify the Highest Point (Maximum): This is the highest value the graph reaches on the y-axis.
2. Identify the Lowest Point (Minimum): This is the lowest value the graph reaches on the y-axis.
3. Determine the Range: The range is the set of all y-values that the function takes. It can be represented as $[y_{min}, y_{max}]$ if it's a continuous graph.

Analysis of the Graph:

• Maximum Value: The graph appears to peak at around $y = 2$.
• Minimum Value: The lowest point of the graph appears to be around $y = -5$.

Conclusion:

The range of the function is from $y = -5$ to $y = 2$.

Range: $[-5, 2]$

Would you like further details or have any other questions?

Follow-up Questions:

1. How do you determine the domain of a function based on its graph?
2. What does the range of a function tell you about its behavior?
3. How would the range change if the graph were shifted vertically?
4. Can a function have the same domain but different ranges?
5. How can you determine if a function is increasing or decreasing from its graph?

Tip: Always observe the endpoints and any asymptotes (if present) when determining the range and domain from a graph.