https://file.aiquickdraw.com/mathbot/file/17259997090658c2gzsyw.jpg

The graph in your image shows a curve with two key points marked on it. Based on this, we can identify the absolute maximum and minimum values:

- **Absolute Maximum**: This occurs at the highest point on the curve. The graph shows a point at \((-1, 4)\), which is the highest point on the graph, making it the **absolute maximum**.
  
- **Absolute Minimum**: This occurs at the lowest point on the curve. The graph shows a point at \((-3, -1)\), which is the lowest point, making it the **absolute minimum**.

So the correct answers should be:
- **Absolute Maximum**: \((-1, 4)\)
- **Absolute Minimum**: \((-3, -1)\)

It looks like the minimum you've entered in the image is incorrect. Instead of \((2, 1)\), it should be \((-3, -1)\).

Would you like more details or have any questions?

Here are 5 related questions to expand your knowledge:
1. What is the difference between local and absolute extrema?
2. How do you find the absolute extrema on a closed interval?
3. How can you use the first and second derivative tests to find extrema?
4. What role do endpoints play in finding absolute extrema on a graph?
5. Can a function have more than one absolute maximum or minimum?

**Tip**: Always double-check the coordinates of points when identifying extrema from a graph to avoid common mistakes.

Find the absolute maximum and minimum for the given graph.

Learn how to find the absolute maximum and minimum points on a given graph. In this example, the highest point at (-1, 4) is the absolute maximum, and the lowest point at (-3, -1) is the absolute minimum. Ideal for high school students learning about extrema and graph analysis.

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