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14 votes
14 votes
Which of the sets of ordered pairs represents a function? (4 points)

A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}

a
Only A

b
Only B

c
Both A and B

d
Neither A nor B

User Mohit Srivastava
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3.2k points

2 Answers

23 votes
23 votes

Answer: B

Explanation:

Functions and Relations

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

User Thecarisma
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3.0k points
26 votes
26 votes

Answer: D, neither A nor B

Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.

User Crozeta
by
2.7k points