Question

Select all the relations that represent a function.A. (1,3), (2,5), (2,7) (4,9)B. (1,3), (2,5), (3, 7) (4,9)C. (1, 3), (1,5), (1, 7) (4,9)D. (1,3), (2, 3), (3, 3) (4, 3)E. (1, 2), (2,5), (2, 1) (4,5)

Answer 1

Step-by-step explanation:

A relation is a function if and only if for each value of x there's only one value of y. In other words, if we find one value of x more than once, the relation is not a function.

Relation A is not a function because x = 2 shows up twice: (2, 5) and (2, 7)

Relation C is not a function because x = 1 shows up three times: (1, 3), (1, 5) and (1, 7)

Relation E is not a function because x = 2 shows up twice: (2, 5) and (2, 1)

Relations B and D have only one time each value of x

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