Question

x f(x)
0
1
2


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

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 complete 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 input-output table for the function \( f(x) = 20(3)^x \) is as follows:

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