To solve the problem shown in the image:

We are given the function:

$f(x) = 3 - 3x$

Task:

Find the indicated values:

1. $f(-4)$
2. $f(0)$
3. $f(6)$

Step-by-Step Solution:

(a) $f(-4)$:

Substitute $x = -4$ into $f(x) = 3 - 3x$: $f(-4) = 3 - 3(-4)$ $f(-4) = 3 + 12 = 15$ $\therefore f(-4) = 15$.

(b) $f(0)$:

Substitute $x = 0$ into $f(x) = 3 - 3x$: $f(0) = 3 - 3(0)$ $f(0) = 3$ $\therefore f(0) = 3$.

(c) $f(6)$:

Substitute $x = 6$ into $f(x) = 3 - 3x$: $f(6) = 3 - 3(6)$ $f(6) = 3 - 18 = -15$ $\therefore f(6) = -15$.

Final Answers:

1. $f(-4) = 15$
2. $f(0) = 3$
3. $f(6) = -15$

Would you like additional details on function evaluation or related examples?

Related Questions:

1. What is $f(2)$ for the function $f(x) = 3 - 3x$?
2. What happens if $x$ is a fraction or decimal, e.g., $f(1.5)$?
3. How does the graph of $f(x) = 3 - 3x$ look like?
4. What is the slope and y-intercept of this linear function?
5. Can you find where $f(x) = 0$?

Tip:

When substituting values into functions, always be cautious with signs during calculations!