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Looking at the provided graph, we can determine the domain of the function by finding the range of \( x \)-values over which the function is defined.

From the graph, it appears that the function spans horizontally from approximately \( x = -5 \) to \( x = 5 \). This is the range of \( x \)-values for which the function has corresponding \( y \)-values, and there are no breaks or holes in this interval (except a possible gap where the function does not touch the axis around \( x = -1 \), but this does not restrict the domain).

Thus, the correct domain appears to be \( -5 \leq x \leq 5 \), which corresponds to the third option:

**Answer: \( -5 \leq x \leq 5 \)**

Would you like a detailed explanation of why the other options are incorrect or have any other questions?

Here are 5 related questions you might consider:

1. How do you determine the range of a function from a graph?
2. What would the domain be if the function had vertical asymptotes?
3. Can a domain ever include discontinuities or holes in the graph?
4. How do you express the domain of a function that is defined over multiple intervals?
5. What is the relationship between the domain of a function and its inverse?

**Tip:** Always check for discontinuities or points where the function is not defined (e.g., holes or asymptotes) when determining the domain from a graph.

Refer to the figure. Which of the following is the domain of the function?

This problem asks you to determine the domain of a function based on its graph. You’ll learn to assess the horizontal span where the function is defined, covering concepts related to function domain and graph analysis. Suitable for students in Grades 9-11.

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