To evaluate the function \( f(x) = -3x - 2 \) at \( x = 3 \), substitute \( x = 3 \) into the function:

\[
f(3) = -3(3) - 2
\]
\[
f(3) = -9 - 2
\]
\[
f(3) = -11
\]

So, \( f(3) = -11 \).

Would you like more details on function evaluation or have any questions?

Here are 5 related questions to explore further:

1. What is the slope of the linear function \( f(x) = -3x - 2 \)?
2. How does changing the value of \( x \) affect the value of \( f(x) \)?
3. Can you find the x-intercept of the function \( f(x) = -3x - 2 \)?
4. How do you determine the y-intercept of a linear function like \( f(x) = -3x - 2 \)?
5. How would you graph the function \( f(x) = -3x - 2 \)?

**Tip:** To find the slope of a linear function, look at the coefficient of \( x \) in the function's equation.

Discover how to evaluate the linear function f(x) = -3x - 2 at x = 3. This step-by-step solution covers core algebraic concepts like slope-intercept form and function evaluation. Perfect for students in Grades 6-8.

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