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