Answer
Please see the graph.
Work Step by Step
$f(x)=e^{2x}$
$x=0$
$f(x)=e^{2x}$
$f(0)=e^{2*0}$
$f(0)=e^{0}$
$f(0)=1$
$x=1$
$f(x)=e^{2x}$
$f(1)=e^{2*1}$
$f(1)=e^2$
$x=1.5$
$f(x)=e^{2x}$
$f(2)=e^{2*1.5}$
$f(2)=e^3$
$(0,1)$, $(1,e^2)$, and $(1.5,e^3)$ are on the curve.