What do the closed and open circles on the graph of a step function​ indicate?
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Part 1
Closed and open circles are used to indicate which part of the domain includes the ends of the steps. A closed circle indicates that the​ x-value is 
▼ 
 that part of the​ domain, and an open circle indicates that the point is 
▼ 
 that part of the domain.

In the graph of a step function, closed and open circles are used to indicate whether the endpoint of a step is included in the domain or not.

1. A **closed circle** indicates that the x-value is **included** in that part of the domain (i.e., the point is part of the graph at that location).
2. An **open circle** indicates that the x-value is **not included** in that part of the domain (i.e., the point is excluded from the graph at that location).

Would you like more details or have any questions?

Here are 5 related questions to deepen understanding:

1. How do step functions differ from continuous functions in terms of graph appearance?
2. Can a step function have both open and closed circles at the same x-value for different steps?
3. What are some real-world examples where step functions are used?
4. How do the open and closed circles affect the range of the step function?
5. What is the significance of a step function being piecewise?

**Tip**: When sketching a step function, carefully choose where to place open and closed circles to correctly represent the intervals.

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

Learn what closed and open circles on a step function graph indicate. A closed circle means the x-value is included in the domain, while an open circle means it is excluded. This guide is perfect for students learning about step functions and graphing in Grades 9-12.

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