Question

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

Answer 1

To complete the input-output table for the function \( f(x) = 20(3)^x \), we can substitute the values of \( x \) into the function to find \( f(x) \).

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

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

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

Now we can complete the 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 is:

| x | f(x) |
|---|------|
| 0 | 20 |
| 1 | 60 |
| 2 | 180 |