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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.

Learn how to evaluate the function f(x) = -x - 4 for f(-2). This algebra problem focuses on the concept of substitution and understanding linear functions, suitable for Grades 7-9.

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