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**Mark all the relative *minimum* points in the graph.**

In the given graph, we are tasked with identifying all the relative *minimum* points. A relative minimum is a point on the graph where the function changes direction from decreasing to increasing. This is often seen at the lowest point in a particular section of the graph (a "valley").

Upon observing the graph:

- The graph decreases as it approaches \(x = -6\), then begins increasing after \(x = -6\), indicating a change from decreasing to increasing at \(x = -6\). This means that the point at \(x = -6\) is a **relative minimum**.

### Conclusion:
- The relative minimum is at \(x = -6\) (marked with a green dot on the graph).

Would you like more details on how to find these points, or have any specific questions?

Here are five related questions to further explore the concept:

1. What are relative maximum points, and how do they differ from relative minimum points?
2. How can you find relative minima algebraically from a function's equation?
3. What is the difference between a relative minimum and an absolute minimum?
4. How can calculus help in identifying relative minima?
5. Can a graph have multiple relative minima? Why or why not?

**Tip:** When analyzing a graph, always look for changes in the direction of the curve (from decreasing to increasing or vice versa) to identify relative extrema.

Mark all the relative minimum points in the graph.

Learn how to mark relative minimum points on a graph by analyzing the changes in the curve direction. This problem involves key calculus concepts such as relative minima and the first derivative test, making it suitable for students in Grades 10-12.

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