Find the missing values and the rule for the given input and output pairs: x: 1, 2, 3, 4, ? y: 1, 8, 27, 128, ?

To complete the table and find the rule, we need to identify the relationship between the input $[x]$ and the output $[y]$.

The given values are:
Input $[x]$: 1, 2, 3, 4, (missing value)
Output $[y]$: 1, 8, 27, 128, (missing value)

Step 1: Analyze the first three pairs of input and output.

• For $x=1$, $y=1$. We can write $1 = 1^3$.
• For $x=2$, $y=8$. We can write $8 = 2^3$.
• For $x=3$, $y=27$. We can write $27