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To find the y-values of the relative maximum and minimum from the graph you provided, let's analyze the graph visually:

1. **Relative Maximum**: This occurs at the highest point of the curve within a certain interval. On the graph, the relative maximum appears to occur around \( x \approx -1 \). The y-value at this point is approximately **3**.

2. **Relative Minimum**: This occurs at the lowest point of the curve within a certain interval. On the graph, the relative minimum appears to occur around \( x \approx 1 \). The y-value at this point is approximately **-2**.

So, the approximate y-values are:
- **Relative Maximum y-value:** 3
- **Relative Minimum y-value:** -2

Would you like a more detailed explanation or have any questions?

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Here are 5 related questions for further exploration:
1. How can you determine the exact coordinates of relative extrema using calculus?
2. What is the difference between absolute and relative maxima/minima?
3. How can you use the first derivative to identify relative maxima and minima?
4. How does the second derivative test confirm whether a critical point is a max or min?
5. Can relative maxima and minima occur at endpoints of a graph's domain?

**Tip:** When analyzing a function's graph for relative extrema, the first derivative indicates where the slope is zero or undefined, signaling potential maxima or minima.

Discover how to find the minimum and maximum values using calculus. This solution analyzes a graph to identify relative extrema, providing clear steps and y-values for both relative maximum and minimum points. Suitable for advanced high school students and anyone studying calculus.

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