The function $f(x)$ provided is a piecewise function defined differently based on the value of $x$. It's given by:

1. $f(x) = 3x - 2$ for $x < -2$
2. $f(x) = -x$ for $-2 \leq x < 1$
3. $f(x) = x^2 - 7x$ for $x \geq 1$

To evaluate $f(x)$ for specific values of $x$, you'll need to identify which condition the value of $x$ satisfies and then apply the corresponding function. If you have specific values of $x$ for which you would like to evaluate $f(x)$, please let me know those values.

Would you like details or have any other questions? Here are some related questions we can explore:

1. What is the derivative of $f(x)$ at a specific value?
2. How can you find the limits of $f(x)$ as $x$ approaches the boundaries of these intervals?
3. What is the behavior of $f(x)$ as $x$ approaches infinity?
4. How can you graph this piecewise function?
5. What are the critical points of $f(x)$ for optimization problems?

Tip: When dealing with piecewise functions, it's crucial to consider boundary conditions and continuity at the points where the function definition changes.