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The given function \( f(x) \) is a piecewise function:

\[
f(x) = \begin{cases} 
x - 7 & \text{if } x \leq 3 \\
3 - x & \text{if } x > 3 
\end{cases}
\]

This means:

1. For values of \( x \leq 3 \), use \( f(x) = x - 7 \).
2. For values of \( x > 3 \), use \( f(x) = 3 - x \).

If you need to calculate specific values of the function, please provide the values of \( x \), and I'll apply the function to determine \( f(x) \).

Would you like to test with certain values or need further clarifications?

Here are some related questions:
1. What is \( f(2) \)?
2. What is \( f(3) \)?
3. What is \( f(4) \)?
4. How does the function behave as \( x \to 3^- \)?
5. How does the function behave as \( x \to 3^+ \)?

**Tip**: For piecewise functions, always check which part of the function applies for the given \( x \).

Find the following values of the function:

f(x) = {x - 7 for x ≤ 3, 3 - x for x > 3}

Understand how to find values of the piecewise function f(x) where f(x) = x - 7 for x ≤ 3 and f(x) = 3 - x for x > 3. This problem involves algebraic concepts suitable for students in Grades 8-10.

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