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?

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.