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\navailable numbers: 1, 2, 3, 4, 5, 6, 7
Answer
Explanation:
Step1: Recall function definition
A function requires each input (x-value) to have exactly one output (y-value), but outputs can repeat for different inputs. Existing unique inputs: 1, 7, 2, 4.
Step2: Fill first empty input
Choose a number not already used as an input (to avoid conflicts). Available numbers: 3,5,6. Assign 3 to pair with output 11.
Step3: Fill second empty input
Choose another unused number. Assign 5 to pair with output 15.
Step4: Fill third empty input
Assign the last unused number. Assign 6 to pair with output 9.
Answer:
| Input | 1 | 7 | 3 | 2 | 5 | 4 | 6 |
|---|---|---|---|---|---|---|---|
| Output | 4 | 16 | 11 | 12 | 15 | 20 | 9 |
(Note: Any unused numbers from {3,5,6} can be assigned to the empty input slots, as long as no input value repeats.)