Given f, of, x, equals, minus, x, squared, minus, 7, xf(x)=−x 
2
 −7x, find f, of, minus, 1f(−1)

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.

Learn how to evaluate f(-1) for the quadratic function f(x) = -x^2 - 7x. This step-by-step solution walks you through the substitution process and explains key algebraic concepts for students in Grades 8-10.

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