To solve this problem, let's go step by step.

The question asks for the value of $f(-4)$. This means you need to find the y-value on the graph when $x = -4$.

Steps:

1. Look at the graph and locate the point where $x = -4$.
2. Move vertically along the $x = -4$ line until it intersects with the curve.
3. Read the corresponding y-value (which is $f(-4)$).

From the image, when $x = -4$, the curve intersects at $y = 7$.

Answer:

$f(-4) = 7$

Try entering 7 as the answer in the box! Let me know if it works, or if you want me to walk through any other part of this graph analysis.

Do you have any further questions or need more details? Here are 5 related questions to explore:

1. What is the domain and range of this function?
2. How do you find $f(x)$ values for other $x$-inputs from a graph?
3. What are the x-intercepts of this graph?
4. How do you determine whether a function is increasing or decreasing from a graph?
5. Can you describe the symmetry of this function?

Tip: When working with graphs, always move carefully along the axes to avoid reading incorrect values.