https://file.aiquickdraw.com/mathbot/file/1730220268441m545w3tk.jpg

To analyze the domain of the function shown in the graph, let's examine the x-values where the function is defined:

1. The graph shows the function as a discrete set of points on specific x-values, which means the function does not cover a continuous interval.
2. By inspecting the points, we see that they correspond only to integer values of \( x \).
3. Based on the options provided, we need to specify the range of integer values for \( x \) where the function is defined.

Since the graph displays points only on integers, the correct answer would likely be one that states the function’s domain as a set of integers within a specific interval.

Looking at the answer choices:

- Option **F** seems appropriate because it specifies that \( x \) is an integer within a certain range, which aligns with the discrete integer points shown on the graph.
  
To determine the exact range, observe the minimum and maximum x-values on the graph. Fill in these values in the boxes to define the interval.

Would you like more help in identifying the range or further details on how to determine this?

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### Questions for Further Exploration
1. How do we define the range of the function from a graph like this?
2. What are set-builder notation and its uses in describing domain and range?
3. How can we identify whether a function is discrete or continuous?
4. What does it mean for \( x \) to be an integer in terms of function definition?
5. How can we apply interval notation to describe continuous and discrete domains?

#### Tip:
When interpreting the domain from a graph, focus on the x-values where the function has corresponding points or values.

Use set-builder notation to describe the domain and range of the function. Describe the domain of the function. If multiple correct answers are possible, use the narrowest possible answer. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.

Learn how to determine the domain of a function using set-builder notation by analyzing a graph with discrete integer points. This example helps students understand set-builder notation and how to apply it to discrete domains.

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