To complete the table for the function $f(x) = 3^x$, we need to evaluate the function for the given values of $x$. I’ll demonstrate the process for a general range of $x$ values, typically integers such as $-2, -1, 0, 1, 2$, unless specified otherwise.

Here’s the step-by-step calculation for each value:

1. $f(-2) = 3^{-2} = \frac{1}{3^2} = \frac{1}{9} \approx 0.11$
2. $f(-1) = 3^{-1} = \frac{1}{3} \approx 0.33$
3. $f(0) = 3^0 = 1$
4. $f(1) = 3^1 = 3$
5. $f(2) = 3^2 = 9$

Here's the completed table:

$x$	$f(x) = 3^x$
-2	0.11
-1	0.33
0	1.00
1	3.00
2	9.00

Would you like me to go over any specific calculations in more detail, or do you have other questions?

Related Questions:

1. How do you calculate powers of negative exponents?
2. How does the function $f(x) = 3^x$ behave as $x$ increases?
3. What is the significance of the base in exponential functions?
4. How would the values change if the base was $2$ instead of $3$?
5. How does $f(x) = 3^x$ compare to $f(x) = e^x$?

Tip: Exponential functions grow rapidly; understanding how the base affects the rate of growth can help in estimating values.