Which of the following sets of data does NOT represent a function? Set A (x, y) (6, 3) (8,4) (5, 7) (9, 2) Set B (x, y) (0, 3) (1, 8) (2, 8) (3, - 7) Set C (x, y) (10, 7) (20, 11) (30, 9) (40, 7) Set D (x, y) (3, 9) (2, 2) (8, - 3) (2, 1) a: Set A. b: Set B. c: Set C. d: Set D

Question

Mathematics

Cowan

30 October, 17:13

Which of the following sets of data does NOT represent a function? Set A (x, y) (6, 3) (8,4) (5, 7) (9, 2) Set B (x, y) (0, 3) (1, 8) (2, 8) (3, - 7) Set C (x, y) (10, 7) (20, 11) (30, 9) (40, 7) Set D (x, y) (3, 9) (2, 2) (8, - 3) (2, 1) a: Set A. b: Set B. c: Set C. d: Set D

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Answers (1)

Know the Answer?

Kathryn Bauer · Answer 1

Answer: D

Step-by-step explanation:

D contains both (2,2) and (2,1), and fails the definition. D (2) would have to be 2 and 1 at the same time.

Set S is a function if and only if

x ∈ S implies x is an ordered pair,

and

(a, b) and (a, c) ∈ S implies b = c.