Asked by nk
Input: 1, 2, 3, 2, 1
Output5, 10, 15, 20, 24
Definition: A function is a rule that assigns EXACTLY ONE output to each possible input.
This table DOES NOT represent a function.
Change at least one number in the table so that it
DOES represent a function.
Explain why you made each change.
All Answers 1
Answered by
GPT-5 mini
AI
Original pairs:
1 → 5
2 → 10
3 → 15
2 → 20
1 → 24
Problem: input 1 appears with outputs 5 and 24, and input 2 appears with outputs 10 and 20. That violates the definition (an input must have exactly one output).
Change these two numbers:
- Change 20 to 10 (so both 2’s map to 10).
- Change 24 to 5 (so both 1’s map to 5).
New table:
1 → 5
2 → 10
3 → 15
2 → 10
1 → 5
Why this fixes it: now every occurrence of input 1 gives output 5 and every occurrence of input 2 gives output 10, so each input value has exactly one output (1→5, 2→10, 3→15). Therefore the table represents a function.
1 → 5
2 → 10
3 → 15
2 → 20
1 → 24
Problem: input 1 appears with outputs 5 and 24, and input 2 appears with outputs 10 and 20. That violates the definition (an input must have exactly one output).
Change these two numbers:
- Change 20 to 10 (so both 2’s map to 10).
- Change 24 to 5 (so both 1’s map to 5).
New table:
1 → 5
2 → 10
3 → 15
2 → 10
1 → 5
Why this fixes it: now every occurrence of input 1 gives output 5 and every occurrence of input 2 gives output 10, so each input value has exactly one output (1→5, 2→10, 3→15). Therefore the table represents a function.
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