To find $f(x)$ when $x = 2$, substitute $x = 2$ into the equation $f(x) = x + 3$:

$f(x) = 2 + 3 = 5$

Thus, $f(2) = 5$.

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Would you like more details or have any questions? Here are five related questions to explore:

1. What is the general shape of the graph of $f(x) = x + 3$?
2. How does the graph of $f(x) = x + 3$ compare to $f(x) = x$?
3. What is the y-intercept of $f(x) = x + 3$?
4. What is $f(x)$ when $x = -1$?
5. How would the graph change if the equation were $f(x) = x - 3$?

Tip: Always identify the y-intercept of a linear equation $f(x) = mx + b$; it's located at $(0, b)$.