consider the table of input and output values shown. drag a number to each box to complete the table of…
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.\ninput 1 7 □ 2 □ 4 □\noutput 4 16 11 12 15 20 9\n1 2 3 4 5 6 7
Answer
Explanation:
Step1: Recall function definition
A function maps each input to exactly one output, and each input value must be unique.
Step2: Match outputs to new inputs
We need to assign unused input values (3,5,6,7 are left? No, available inputs to drag are 1,2,3,4,5,6,7; existing inputs are 1,7,2,4, so missing inputs are 3,5,6. Pair each to the remaining outputs:
- Output 11 → Input 3
- Output 15 → Input 5
- Output 9 → Input 6
(All inputs will be unique, satisfying function rules.)
Answer:
| Input | 1 | 7 | 3 | 2 | 5 | 4 | 6 |
|---|---|---|---|---|---|---|---|
| Output | 4 | 16 | 11 | 12 | 15 | 20 | 9 |
Filled empty input boxes (left to right): 3, 5, 6