The given function is:

$f(x) = -x^2 - 7x$

We need to find $f(-1)$. To do this, substitute $x = -1$ into the function:

$f(-1) = -(-1)^2 - 7(-1)$

Now, calculate step by step:

$(-1)^2 = 1$

$f(-1) = -(1) - 7(-1) = -1 + 7 = 6$

So, $f(-1) = 6$.

Would you like more details or have any questions? Here are some related questions to explore:

1. What is $f(0)$ for the given function?
2. Find the value of $f(2)$ in the same function.
3. How does the graph of $f(x) = -x^2 - 7x$ look?
4. What are the roots of the function $f(x) = -x^2 - 7x$?
5. How do you find the vertex of the parabola $f(x) = -x^2 - 7x$?

Tip: When evaluating a function, carefully substitute the given value for the variable and follow the order of operations.