Answer
Please see the graph.
Work Step by Step
$f(x)=3*ln x$
$x=e$
$f(x)=3*ln x$
$f(e)=3*ln e$
$f(e) = 3*1$
$f(e)=3$
$x=e^2$
$f(x)=3*ln x$
$f(e^2)=3*ln {e^2}$
$f(e^2)=3*2$
$f(e^2)=6$
$x=1$
$f(x)=3*ln x$
$f(1)=3*ln 1$
$e^0 =1$
$f(1)= 3*0$
$f(1)=0$
$(1,0)$, $(e,3)$, and $(e^2, 6)$ are on the curve.