The table represents the function f(x).

A 2-column table with 7 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 9, negative 6, negative 3, 0, 3, 6, 9.

What is f(3)?

–9
–1
1
9

The table provided lists values of \( f(x) \) for corresponding \( x \)-values. According to the table:

- When \( x = 3 \), the corresponding \( f(x) = 9 \).

Thus, the correct answer is:

\[
\boxed{9}
\]

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. What is the general pattern or rule governing \( f(x) \) based on the table?
2. Is \( f(x) \) a linear function? If so, what is its slope?
3. How would you write the equation for \( f(x) \) based on the table?
4. If \( f(x) = 12 \), what value of \( x \) would correspond to this?
5. What is the relationship between \( f(x) \) and \( x \) when \( x = -4 \)?

**Tip:** To determine if a function is linear, check if the differences between consecutive \( f(x) \)-values are constant.

Solve for f(3) using the values from a table representing a linear function. Understand linear functions and apply the slope-intercept formula to determine the correct output. Suitable for students in Grades 6-8.

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