To solve the given function $f(x) = -x - 4$ for $f(-2)$, we substitute $x = -2$ into the equation:

$f(-2) = -(-2) - 4$

Simplifying:

$f(-2) = 2 - 4 = -2$

So, $f(-2) = -2$.

Would you like further details or have any other questions?

Here are 5 related questions to deepen your understanding:

1. How do we handle substitution in more complex functions, such as $f(x) = 2x^2 - 3x + 1$?
2. What happens if we solve for $f(x)$ when $x$ is a positive number in this function?
3. How do transformations of functions, such as shifting and reflecting, affect the graph of $f(x) = -x - 4$?
4. Can you graph $f(x) = -x - 4$ and identify its slope and y-intercept?
5. How do we interpret the result geometrically for $f(-2)$?

Tip: Always double-check signs when substituting negative numbers to avoid errors.