Answer
Graph I
Work Step by Step
The first graph contains the point $(1, 2)$ while the second graph contains $(3, 0)$.
To know which graph represents the given function, evaluate $f(x)$ when x = 3 and when x = 1.
When x = 3,
$f(3) = 2 + \ln{3} \approx 3.10$
When x = 1,
$f(1) = 2+\ln{1} = 2 + 0 = 2$
Graph I contains a the point $(1, 2)$ but Graph II does not contain $(1, 2)$.
Therefore, the graph of the given function must be Graph I.