Question

Which of the following relations is a function?

A.
(4, 0), (-3, 3), (7, 1), (-3, 5)

B.
(4, 4), (-3, 6), (4, 3), (-7, 2)

C.
(7, 1), (-3, 4), (4, 1), (7, 2)

D.
(4, 4), (-3, 2), (7, 1), (-7, 2)

Answer 1

The answer is: D. (4, 4), (-3, 2), (7, 1), (-7, 2)

Explanation:

The others have two instances each where the same input results in a different output. The x is the input and the y is the output. Functions have a unique output for every input.

For A, the (-3, 3) and (-3, 5) make it not a function.

For B, (4, 4), and (4, 3) make it not a function.

For C, (7, 1), and (7, 2) make it not a function.

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