In the image, we are given the graph of a function $f(x)$ and asked to complete two tasks:

1. Evaluate $f(1)$: According to the provided answer, $f(1) = 2$, which seems correct based on the graph. At $x = 1$, the graph crosses $y = 2$, meaning that the value of the function at this point is 2.

2. Solve $f(x) = 1$: To solve this, we need to find where the graph intersects the line $y = 1$. By observing the graph, it appears that the function crosses $y = 1$ at $x = 0$. Therefore, the solution is: $x = 0$

Let me know if you'd like more details on how to interpret graphs or solve function equations!

Here are five related questions:

1. How would you interpret the slope of this function near $x = 0$?
2. Can the function $f(x)$ be linear based on the graph?
3. What would the equation of the tangent line at $x = 1$ be if $f(x)$ were differentiable?
4. Is the function $f(x)$ increasing or decreasing at $x = 1$?
5. What would $f(x)$ equal if $x = -1$?

Tip: When solving graph-based function problems, always check if the graph crosses or touches the target $y$-value multiple times for different $x$-values.