To evaluate \(f(-6)\) for the function \(f(x) = 3x - 7\), substitute \(-6\) for \(x\) in the function:

\[
f(-6) = 3(-6) - 7
\]

Now, calculate the expression:

\[
f(-6) = -18 - 7 = -25
\]

So, \(f(-6) = -25\).

Would you like more details or have any questions about this problem?

Here are 5 related questions you might find interesting:

1. Evaluate \(f(0)\) for the function \(f(x) = 3x - 7\).
2. Find the value of \(x\) for which \(f(x) = 0\) when \(f(x) = 3x - 7\).
3. Determine \(f(10)\) if \(f(x) = 3x - 7\).
4. What is the slope of the line represented by the function \(f(x) = 3x - 7\)?
5. How would you find \(f(a)\) if \(f(x) = 3x - 7\) for a general \(a\)?

**Tip:** To find the output of a function for a given input, substitute the input value into the function and simplify the expression.

Learn how to evaluate f(-6) for the function f(x) = 3x - 7 using substitution and calculation. This problem explores basic function evaluation concepts and is suitable for students in Grades 7-9.

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