The image you provided presents a graph of a function along with the task to evaluate $f(0)$. Let’s go through the process of solving it step by step.

Problem:

The graph displays the function, and you are asked to find $f(0)$, i.e., the value of the function at $x = 0$.

Steps:

1. To determine $f(0)$, we look at the point on the graph where $x = 0$.
2. From the image, the point where $x = 0$ corresponds to the y-coordinate of the function at that point.
3. By checking the graph, it appears that the function passes through $y = 3$ at $x = 0$.

Answer:

Thus, $f(0) = 3$.

Would you like more details or have any further questions?

Follow-up Questions:

1. How would you calculate $f(x)$ for any other given $x$ value using the graph?
2. What is the behavior of the function as $x \to \infty$?
3. How could you determine the zeros of the function (i.e., when $f(x) = 0$) from the graph?
4. If you were given $f(2)$, how would you find this using the graph?
5. What transformations (shifts, stretches) can be observed in the function based on its shape?

Tip:

When analyzing functions graphically, always check the axes to ensure that you are interpreting the scale and values correctly!