Question

Finish creating the input-output table for the function f(x) = 20(3)^x.
X: 0, 1, 2
f(x):

Answer 1

To create the input-output table for the function \( f(x) = 20(3)^x \), we need to calculate \( f(x) \) for the given values of \( x \): 0, 1, and 2.

1. For \( x = 0 \):
\[
f(0) = 20(3)^0 = 20(1) = 20
\]

2. For \( x = 1 \):
\[
f(1) = 20(3)^1 = 20(3) = 60
\]

3. For \( x = 2 \):
\[
f(2) = 20(3)^2 = 20(9) = 180
\]

Now we can summarize the input-output table:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
0 & 20 \\
1 & 60 \\
2 & 180 \\
\hline
\end{array}
\]

So the completed table is:

- \( x = 0 \), \( f(x) = 20 \)
- \( x = 1 \), \( f(x) = 60 \)
- \( x = 2 \), \( f(x) = 180 \)