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what is the domain of the function using interval notation

The graph shows a function that spans horizontally from \( x = -3 \) to \( x = 5 \). The left endpoint at \( x = -3 \) is an open circle, indicating that this point is **not included** in the domain. The right endpoint at \( x = 5 \) is a closed circle, indicating that this point **is included** in the domain.

Thus, the domain of the function in interval notation is:
\[
(-3, 5]
\]

Would you like further clarification or details on this solution?

Here are 5 related questions to deepen understanding:
1. How is the domain of a function defined?
2. What is the difference between open and closed intervals?
3. How would the domain change if the open circle at \( x = -3 \) were closed?
4. What would the range of this function be, based on the graph?
5. How can you find the domain of a more complex function algebraically?

**Tip:** Remember, an open circle means the value is not included, while a closed circle means the value is included in the domain or range.

What is the domain of the function using interval notation?

Learn how to determine the domain of a function using interval notation based on a graph. This problem explores key concepts such as open and closed intervals, and visual interpretation of graphs, suitable for students in Grades 8-10.

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