Answer
Please see the graph.
Work Step by Step
$f(x)= (1/2)^x +1$
$x=0$
$f(x)= (1/2)^x +1$
$f(0)= (1/2)^0 +1$
$f(0)=1+1$
$f(0)=2$
$(0,2)$
$x=1$
$f(x)= (1/2)^x +1$
$f(1)= (1/2)^1 +1$
$f(1)= 1/2 +1 $
$f(1)= 3/2$
$(1, 3/2)$
$x=2$
$f(x)= (1/2)^x +1$
$f(2)= (1/2)^2 +1$
$f(2)= 1/4 +1$
$f(2)= 5/4$
$(2, 5/4)$
The points $(0,2)$, $(1, 3/2)$, and $(2,5/4)$ are on the graph.