Here is the graph of the function $f(x) = 2$. As expected, it is a horizontal line at $y = 2$ because the function is constant, meaning for every value of $x$, $f(x)$ equals 2.

Would you like further details or explanations? Feel free to ask any specific questions.

Here are five questions that could help you explore this concept further:

1. How do you determine the slope of a constant function like $f(x) = 2$?
2. What happens if we change $f(x) = 2$ to $f(x) = c$, where $c$ is any constant?
3. How does the graph of a constant function compare to the graph of a linear function like $f(x) = x$?
4. What would the derivative of $f(x) = 2$ look like?
5. How does the range of a constant function differ from the range of non-constant functions?

Tip: The graph of any constant function will always be a horizontal line, where the $y$-value remains constant across all $x$-values.