https://file.aiquickdraw.com/mathbot/file/1726714466913hen639in.jpg

From the image, we are tasked with finding the domain of the function \( F \), which is the blue graph. The domain represents all the possible \( x \)-values for which the function \( F \) is defined.

### Steps to Find the Domain of \( F \):
1. **Examine the graph**: The blue graph starts at \( x = 2 \) and ends at \( x = 14 \).
2. **Look for breaks or undefined regions**: There are no breaks in the blue graph between these points, which means \( F \) is defined continuously from \( x = 2 \) to \( x = 14 \).

### Domain of \( F \):
Thus, the domain of \( F \) in interval notation is:

\[
\boxed{[2, 14]}
\]

Would you like further details or explanations on how to find the domain of \( G \) or \( F+G \)? Here are a few follow-up questions you might consider:

1. What is the domain of \( G \)?
2. What is the combined domain of \( F + G \)?
3. How do we determine the range of a function from a graph?
4. Can the domain of a function ever include values where the graph doesn't exist?
5. How does the domain of a sum of functions compare to the domains of the individual functions?

**Tip:** Always check for any gaps or vertical asymptotes when determining the domain of a graph.

Consider the functions F and G as shown in the graph. Find the domain of F, the domain of G, and the domain of F + G. What is the domain of F?

This problem asks students to determine the domain of functions F and G from a given graph. The solution includes finding the domain of F, G, and their sum. Suitable for students in Grades 8-10.

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