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