To solve this problem, we need to determine the value of $f(0)$ using the provided graph of the function $f(x)$.

Steps:

1. Locate $x = 0$ on the horizontal axis (the $x$-axis).
2. From this point, move vertically until you intersect the curve of the function $f(x)$.
3. Identify the $y$-coordinate of the point where the curve intersects the vertical line at $x = 0$.
4. The $y$-coordinate at this intersection is $f(0)$.

Let me analyze the graph in detail for a precise answer.

From observation:

• At $x = 0$, the graph intersects the $y$-axis at $y = 4$.

Thus, $f(0) = 4$.

Do you want further explanation or clarifications?

Here are 5 related questions to deepen your understanding:

1. How can you determine $f(x)$ values for other points on this graph?
2. What type of function might this graph represent (e.g., quadratic)?
3. What is the significance of the vertex of the graph in determining the function's properties?
4. How do you find the zeros of a function from its graph?
5. What does the symmetry of this graph tell us about the function?

Tip: The $y$-intercept of a graph, which is $f(0)$, is often crucial in understanding its behavior and properties.