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To find the midline of the periodic function, we need to understand the relationship between the maximum and minimum values of the function.

### Given:
- Maximum value: \( 2.5 \)
- Minimum value: \( -3.5 \)

### Midline Calculation:
The midline is the average of the maximum and minimum values of the function. It is calculated by taking the sum of the maximum and minimum values and dividing by 2.

\[
\text{Midline} = \frac{\text{Maximum} + \text{Minimum}}{2}
\]

Substituting the values:

\[
\text{Midline} = \frac{2.5 + (-3.5)}{2} = \frac{-1}{2} = -0.5
\]

### Conclusion:
The midline of the graph is \( y = -0.5 \).

This midline represents the horizontal line that lies exactly in the middle of the periodic function’s range, dividing the function into equal parts above and below this line.

Would you like any further clarification or additional details?

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Here are 5 related questions you might find useful:
1. What is the amplitude of the periodic function in this case?
2. How would you graph a function with this midline?
3. How does changing the maximum and minimum values affect the midline?
4. What is the period of a typical sinusoidal function, and how would you find it?
5. How does the midline affect the range of a periodic function?

**Tip**: The midline of a periodic function can be visualized as a "balance point" between its maximum and minimum values.

A periodic function has a maximum value of 2.5 and a minimum value of -3.5. What is the midline of its graph? Show work/explain how to get the answer.

Learn how to calculate the midline of a periodic function with a maximum value of 2.5 and a minimum value of -3.5. This problem is explained step-by-step, covering key concepts of periodic functions and graphing.

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