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, but multiple inputs can share an output. Input values can repeat only if paired with the same output; here, all outputs are unique, so inputs must be unique.

Step2: Identify used inputs

Used input values: 1, 7, 2, 4. Available inputs: 3, 5, 6 (from the options 1,2,3,4,5,6,7; exclude already used values).

Step3: Match remaining inputs

Assign the unused inputs (3,5,6) to the empty input boxes in any order, since all outputs are unique and no input repeats.

Answer:

The completed table (one valid arrangement):

Input	1	7	3	2	5	4	6

(Note: Any permutation of 3,5,6 in the empty input boxes is acceptable, as long as no input value repeats.)