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The graph provided shows a curve with several key points labeled as \(a\), \(b\), \(c\), \(d\), \(r\), and \(s\). I will identify which points correspond to absolute and local extrema, and points that are neither a maximum nor a minimum.

### 1. **Absolute maximum**:
- The absolute maximum is the highest point on the entire graph. From the graph, this occurs at **point \(d\)**.

### 2. **Absolute minimum**:
- The absolute minimum is the lowest point on the entire graph. In this case, **point \(a\)** is the lowest on the graph.

### 3. **Local maximum**:
- A local maximum is a peak where the curve changes from increasing to decreasing. In the graph, **points \(b\) and \(d\)** are local maxima.

### 4. **Local minimum**:
- A local minimum is a trough where the curve changes from decreasing to increasing. From the graph, **point \(r\)** is a local minimum.

### 5. **Neither a maximum nor a minimum**:
- Points that do not correspond to any extrema. In this graph, **points \(c\) and \(s\)** do not seem to be extrema, so they fall into this category.

### Summary of classifications:
- **Absolute maximum**: \(d\)
- **Absolute minimum**: \(a\)
- **Local maximum**: \(b\), \(d\)
- **Local minimum**: \(r\)
- **Neither a maximum nor a minimum**: \(c\), \(s\)

Would you like further details on any of these points?

Here are 5 questions for further exploration:
1. What are the conditions for a point to be classified as a local maximum or minimum?
2. How do we determine the absolute maximum and minimum from a given interval?
3. Can a point be both a local and absolute maximum? Why or why not?
4. How can we find critical points from the derivative of a function?
5. What happens to the classification of extrema if the graph extends beyond the visible range?

**Tip**: When looking for extrema, always check for turning points, where the derivative changes sign. These can help identify local maxima or minima.

Identify the absolute maximum, absolute minimum, local maximum, local minimum, and points that are neither maxima nor minima from the provided graph.

This problem focuses on identifying the absolute and local extrema from a given graph. Key points include identifying the absolute maximum and minimum as well as classifying local maxima and minima. Suitable for students in Grades 10-12, this problem highlights concepts of graph analysis and extrema.

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