From the image, we can see a graph that looks like a piecewise function, where several points are connected by line segments.

To find $f(-1)$, we need to locate the point on the graph where $x = -1$.

• At $x = -1$, we can see that the corresponding $y$-value (or $f(-1)$) is approximately $2$.

Thus, $f(-1) = 2$.

Would you like any further clarifications or details on how I derived this? Also, here are five follow-up questions for deeper understanding:

1. What is $f(1)$ for the same function?
2. Can you describe the overall trend of the function?
3. What is the domain and range of this function?
4. How do you evaluate piecewise functions?
5. What happens to the function as $x \to -\infty$?

Tip: For functions, always pay close attention to whether the points are open or closed, as they indicate inclusivity in piecewise functions.