The function $h(x) = 2^x$ is defined for each $x$-value in the table. The table displays correct calculations for each given $x$-value:

1. For $x = -1$: $h(-1) = 2^{-1} = \frac{1}{2}$

2. For $x = 0$: $h(0) = 2^0 = 1$

3. For $x = 1$: $h(1) = 2^1 = 2$

4. For $x = 2$: $h(2) = 2^2 = 4$

5. For $x = 3$: $h(3) = 2^3 = 8$

Each calculation in the table aligns with the function $h(x) = 2^x$, providing the results $\frac{1}{2}, 1, 2, 4,$ and $8$ for the respective $x$-values.

Would you like more details on exponential functions or have any specific questions?

Here are some related questions to expand your understanding:

1. What would the values be if the function were $h(x) = 3^x$ instead?
2. How does the graph of $h(x) = 2^x$ look compared to a linear function?
3. How does $h(x) = 2^x$ behave as $x$ approaches negative infinity?
4. What are some real-life examples where exponential functions like $h(x) = 2^x$ are used?
5. How would you calculate $h(x)$ if $x$ were a non-integer, like $x = 1.5$?

Tip: Exponential functions with a base greater than 1 grow faster than linear and polynomial functions as $x$ increases.