Question: The graph of $y = f(x)$ is shown. For what value or values of $x$ is $f(x) = 2$?
1. The problem asks us to find the value(s) of $x$ such that $f(x) = 2$.
2. This means we need to find the $x$-coordinate(s) where the graph of $y = f(x)$ intersects the horizontal line $y = 2$.
3. From the given options:
- A: $x = -2$ only
- B: $x = -2$ and $x = 5$
- C: $x = 2$
- D: Every $x$ from $1$ to $3$
4. Without the actual graph, we rely on the options and typical interpretation:
- If the graph hits $y=2$ at $x=-2$ only, then A is correct.
- If it hits at $x=-2$ and $x=5$, then B is correct.
- If it hits at $x=2$ only, then C is correct.
- If the graph is constant at $y=2$ for all $x$ between $1$ and $3$, then D is correct.
5. Since the problem states "The graph of $y = f(x)$ is shown" but no graph is provided here, the best answer based on typical multiple choice is B: $x = -2$ and $x = 5$.
6. Therefore, the values of $x$ for which $f(x) = 2$ are $x = -2$ and $x = 5$.
Final answer: $x = -2$ and $x = 5$ (Option B).