The graph provided in the image shows a curve representing the function $y = f(x)$. You are asked to find the value of $f(2)$ based on the graph.

To solve this:

1. Locate $x = 2$ on the horizontal axis.
2. From $x = 2$, trace vertically upwards to where it intersects the curve.
3. Check the corresponding $y$-value where the curve and the vertical line meet.

From the graph, when $x = 2$, the curve intersects at $y = 4$. Therefore: $f(2) = 4$

Thus, the correct answer is C: 4.

Do you need more details or have any other questions?

Here are 5 related questions for further practice:

1. What is $f(1)$ based on the graph?
2. What type of function could represent the curve (e.g., quadratic, cubic)?
3. If $f(x) = ax^2 + bx + c$, how can we determine the values of $a$, $b$, and $c$?
4. How does the behavior of the function change as $x$ increases beyond 3?
5. How can you determine the slope of the curve at $x = 2$?

Tip: When analyzing graphs, always ensure to carefully check the exact values of the intersections with the axes for precise calculations.