From the graph, we need to find the value of $f(-1)$.

Looking at the function graph, $f(-1)$ corresponds to the value of the function at $x = -1$. The graph shows that at $x = -1$, the function has a point of discontinuity, with two different values approaching from the left and right.

The left-side limit as $x$ approaches $-1$ is $3$, and the right-side limit as $x$ approaches $-1$ is $1$, as indicated in your results for the limits. However, the function itself appears not to be defined at $x = -1$ as the overall limit does not exist and there's a visible gap at $x = -1$.

Therefore, $f(-1)$ is not defined (DNE) due to this discontinuity at $x = -1$.

Would you like to know more details or have any other questions? Here are a few follow-up topics you might consider:

1. What causes a function to have a discontinuity?
2. How do we calculate limits from a graph?
3. What are the different types of discontinuities?
4. Can a function have a limit at a point where it is not defined?
5. How to find the equation of a piecewise function from a graph?

Tip: When checking for function values or limits from a graph, always confirm if the point is included (filled circle) or excluded (open circle) as it significantly affects the interpretation.