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 □ 2 □ 4 □
output 4 16 11 12 15 20 9
1 2 3 4 5 6 7

Explanation:

Step1: Recall function definition

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

Step2: List used inputs

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

Step3: Match unused inputs

Available inputs: $3, 5, 6$ (unused from the pool $1,2,3,4,5,6,7$). Assign them to the empty input boxes in any order (since outputs are unique, all pairings are valid).
Example pairing:

• Output $11$ → Input $3$
• Output $15$ → Input $5$
• Output $9$ → Input $6$

Answer:

Input	1	7	3	2	5	4	6

(Note: The empty input boxes can also be filled with 5, 3, 6 or 6, 5, 3 etc., as long as each input is unique.)