To graph the function h(x) = 2 (1/2)^x, we can start by creating a table of values by choosing some x-values and then calculating the corresponding y-values using the function.
Let's choose some x-values and calculate the corresponding y-values:
x | h(x)
--|-----
-2 | 8
-1 | 4
0 | 2
1 | 1
2 | 1/2
3 | 1/4
4 | 1/8
Once we have these values, we can plot the points on a coordinate plane and connect them with a smooth curve to get the graph of the function.
Here is what the graph looks like:
```
|
8 | o
|
6 |
|
4 | o
|
2 | o
|
0----o----------o----------o----------o---->
-2 -1 0 1 x
```
Note that the graph of the function starts at the point (0, 2) and approaches but never quite reaches the x-axis as x increases or decreases without bound. This is because the function h(x) approaches but never quite reaches zero as x approaches positive or negative infinity.