A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?

Question

a. {(1, 2), (3, 4), (5, 6), (7, 2)}

b. {(1, 2), (3, 6), (5, 4), (5, 2)}

c. {(1, 2), (3, 2), (5, 2), (7, 2)}

d. {(1, 4), (3, 4), (5, 6), (7, 6)}

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Answer 1 · 2018-05-18T18:03:03

Please see the explanation below

The domain is $={1,3,5,7}$

The range is $={2,4,6}$

A function will have only one value in the imput (no repetition)

$(a)$ is a function because the imputs are $={1,3,5,7}$

$(b)$ is a not a function because the imputs are $={1,3,color(red)(5),color(red)(5)}$

$(c)$ is a function because the imputs are $={1,3,5,7}$

$(d)$ is a function because the imputs are $={1,3,5,7}$