Which of the following relations are not functions?
Which of the following relations are not functions?
Answer: A. {3,7, 3,6, (5,3)}; B. {1,2, -1,3, (-1,8)}; D. {0,4, 5,6, (5,8)} — Relations that are not functions: Relation {(3, 7), (3, 6), (5, 3)}: the input 3 is paired with both 7 and 6, so a single input has more than one output.…
- A.
{3,7, 3,6, (5,3)}
- B.
{1,2, -1,3, (-1,8)}
- C.
{1,2, 2,2, (3,4)}
- D.
{0,4, 5,6, (5,8)}
Attempted by 68 students.
Show answer & explanation
Correct answer: A, B, D
Relations that are not functions:
Relation {(3, 7), (3, 6), (5, 3)}: the input 3 is paired with both 7 and 6, so a single input has more than one output. Conclusion: not a function.
Relation {(1, 2), (-1, 3), (-1, 8)}: the input -1 is paired with both 3 and 8, so one input has more than one output. Conclusion: not a function.
Relation {(1, 2), (2, 2), (3, 4)}: each input (1, 2, and 3) is paired with exactly one output and no input repeats with different outputs. Conclusion: this is a function.
Relation {(0, 4), (5, 6), (5, 8)}: the input 5 is paired with both 6 and 8, so a single input has more than one output. Conclusion: not a function.