To determine $f(-4)$, we need to find the value of the function $f(x)$ at $x = -4$ using the graph provided.

1. Locate $x = -4$ on the x-axis.
2. Trace vertically until you reach the graph of $f(x)$.
3. At $x = -4$, the graph shows that $f(-4) = -3$.

Thus, $f(-4) = -3$.

Would you like further details on how to interpret graph values, or do you have any other questions?

Here are 5 related questions to expand on this:

1. How would you determine $f(2)$ using the same graph?
2. What is the value of $f(0)$ from the graph?
3. How can you find where $f(x) = 0$ on this graph?
4. Does the function appear to have any symmetry (even or odd)?
5. What is the approximate range of the function $f(x)$ based on the graph?

Tip: When evaluating functions from graphs, always start by locating the desired $x$-value and trace vertically or horizontally to the curve.