https://file.aiquickdraw.com/mathbot/file/1727883305795q8d0zcq0.jpg

The graph shows several labeled points on a curve. A **relative (local) minimum** occurs at a point where the function transitions from decreasing to increasing. This is visually indicated by a "valley" shape, where the curve dips downward before rising again.

In the graph:

- **Point d** is a clear relative minimum because the graph dips at this point and then increases afterward.
- **Point g** is not a relative minimum. It appears to be an inflection point or an area where the curve is increasing but flattening.

Thus, the correct answer would actually be **Point d**, but **Point g** is not a relative minimum.

Would you like more details or have any other questions?

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Here are 5 related questions:
1. What is the difference between a relative and absolute minimum?
2. How can the second derivative test help identify relative minima?
3. Are there any conditions where a point of inflection could be mistaken for a minimum?
4. Can a relative minimum also be an absolute minimum?
5. How does the first derivative of a function indicate a minimum point?

**Tip**: A relative minimum occurs when the derivative changes from negative to positive, so check for this change when analyzing graphs.

Choose the correct list of points on the graph above that would represent a relative (local) minimum.

Explore how to identify relative (local) minima on a graph. This problem highlights key calculus concepts like critical points and uses the first and second derivative tests. Suitable for students in Grade 11-12.

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