
Which interval for the graphed function has a local minimum of 0? 

[–3, –2]

[–2, 0]

[1, 2]

[2, 4]

To determine the interval where the graphed function has a local minimum of 0, we need to analyze the function's behavior in each of the given intervals. Specifically, we should look for the point where the function reaches the value 0 and whether it represents a local minimum within the interval.

- **[–3, –2]**: We need to check if the function has a minimum value of 0 within this interval.
- **[–2, 0]**: Similarly, we should check if the function reaches 0 and if it is a local minimum within this interval.
- **[1, 2]**: We examine if the function touches 0 and forms a local minimum within this interval.
- **[2, 4]**: Again, we verify if the function hits 0 and represents a local minimum within this interval.

Without the graph, the interval is not obvious. However, the local minimum is typically characterized by the function decreasing to 0 and then increasing afterward. 

If you can provide the graph of the function, I can analyze it visually to identify the correct interval. Otherwise, based on typical patterns, I would suggest checking each interval for such behavior. Generally, the context or additional graph details would aid in providing a more precise answer.

Would you like to upload the graph for a detailed analysis?

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Here are 5 questions you might consider asking next:
1. How do you determine a local minimum in a function graph?
2. What are the characteristics of a function's local minimum?
3. Can a function have more than one local minimum?
4. How do you find the local minima of a quadratic function?
5. What is the difference between a local minimum and a global minimum?

**Tip:** When analyzing graphs, always check the function's behavior at the endpoints and within the interval to identify local minima and maxima accurately.

Learn how to identify intervals where a function has a local minimum of 0. Understand the behavior of functions in specified intervals and how to determine local minima without the graph. Suitable for Grades 9-12.

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