We are given the function equation $f(x) = 3x - 3$. To find $f(-4)$, we simply substitute $x = -4$ into the function equation:

$f(-4) = 3(-4) - 3$

Let's calculate it step by step:

$f(-4) = -12 - 3$

$f(-4) = -15$

So, $f(-4) = -15$.

Would you like more details or have any other questions?

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Here are 8 related questions to expand your understanding:

1. What is $f(0)$ for the function $f(x) = 3x - 3$?
2. How would you find the value of $f(2)$ for this function?
3. What is the general formula to determine the slope of a linear function?
4. How do you determine the y-intercept of a linear function?
5. Can you rewrite the function $f(x) = 3x - 3$ in the form $y = mx + b$ and identify $m$ and $b$?
6. What is the inverse function of $f(x) = 3x - 3$?
7. How do you graph the function $f(x) = 3x - 3$?
8. What are the key properties of linear functions like $f(x) = 3x - 3$?

Tip: When solving a function, always substitute the given value carefully and follow the order of operations to avoid errors.