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The question in the image asks about what closed and open circles on the graph of a step function indicate.

- A **closed circle** means that the point (x-value) is **included in** that part of the domain.
- An **open circle** means that the point (x-value) is **excluded from** that part of the domain.

The correct answers for the blanks should be:
1. **included in** for the closed circle.
2. **excluded from** for the open circle.

Do you have any further questions or want more details on step functions?

Here are five follow-up questions:
1. What is a step function, and how does it differ from a continuous function?
2. How are step functions used in real-world applications?
3. What are the key properties of step functions in terms of limits and continuity?
4. Can a step function be represented as a piecewise function? If so, how?
5. What does the range of a step function typically look like?

**Tip:** Always pay attention to the type of circle at discontinuities in piecewise or step functions, as they indicate whether a value is included or excluded.

What do the closed and open circles on the graph of a step function indicate?

Learn how closed and open circles indicate inclusion or exclusion of values in the domain of a step function. This problem focuses on graph interpretation of step functions, crucial for high school students studying advanced algebra or pre-calculus.

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