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