https://file.aiquickdraw.com/mathbot/file/1728874223470jp4vp80e.jpg

To assist you with this table of values based on the graph, let's analyze the function \( f(x) \) by examining the points along the graph. From the image, I can see the graph of the function \( f(x) \), and the task is to create a table of values for specific \( x \)-values.

You are asked to fill in values for \( f(x) \) at:
- \( x = -3 \)
- \( x = -2 \)
- \( x = -1 \)
- \( x = 0 \)
- \( x = 1 \)

Looking at the approximate points on the graph:
1. At \( x = -3 \), it seems \( f(x) = -2 \).
2. At \( x = -2 \), \( f(x) \) looks to be around \( 0 \).
3. At \( x = -1 \), \( f(x) \) appears to be approximately \( 2 \).
4. At \( x = 0 \), \( f(x) = 4 \) (based on the point where the graph crosses the y-axis).
5. At \( x = 1 \), \( f(x) \) seems to be around \( 8 \).

Thus, the table of values for \( f(x) \) would be:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-3 & -2 \\
-2 & 0 \\
-1 & 2 \\
0 & 4 \\
1 & 8 \\
\hline
\end{array}
\]

Please update your table with these values:
- \( F = -2 \)
- \( G = 0 \)
- \( H = 2 \)
- \( I = 4 \)
- \( J = 8 \)

Would you like more details on how the graph points were interpreted, or have any other questions?

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Here are 5 relative questions to expand the discussion:
1. What is the general shape of the function \( f(x) \), and how does it help in understanding its behavior?
2. What might be the mathematical equation for this function based on the graph?
3. Can you predict \( f(x) \) for values beyond those shown, like \( x = 2 \)?
4. How would the function behave for very large or very small \( x \)-values?
5. How does this function relate to quadratic or exponential functions?

**Tip**: When interpreting a graph, check where the function crosses key axis points (x and y axes) to better understand its behavior.

Learn how to extract and interpret function values from a graph for f(x) at specific points. This problem requires understanding graph behavior and values at key points such as x = -3, -2, -1, 0, 1. Suitable for students in Grades 8-10.

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