Question

consider the table of input and output values shown. drag a number to each box to complete the table of values to represent a function.
input 1 7 3 2 4 6
output 4 16 11 12 15 20 9
available numbers: 1, 2, 4, 5, 7

Explanation:

Step1: Recall function definition

A function maps each input to exactly one output, so no input value can repeat.

Step2: List used input values

Used inputs: $1, 7, 3, 2, 4, 6$

Step3: Identify available inputs

Available numbers: $1, 2, 4, 5, 7$. Exclude already used values ($1,2,4,7$), leaving $5$.

Step4: Fill the empty input box

The only valid number for the empty input slot is $5$.

Answer:

The empty input box should be filled with $\boldsymbol{5}$
The completed input row is: $1, 7, 3, 2, 5, 4, 6$