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