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The set of ordered pairs shown below is a relation that is a function of x. {(-5, 1), (-4, 1), (-3, 1), (-2, 1)} Which ordered pairs could be included in the set so that the relation remains a function of x?

A (-6, 1), (-1, 1)
B (-2, 2), (-1, 1)
C (-3,0), (-1, 1)
D (-6, 1), (-5, 1)​

User Bismo
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1 Answer

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The set of ordered pairs is a function of x because each x-value is paired with exactly one y-value. To keep the relation as a function of x, we need to make sure that each x-value is only paired with one y-value.

A. (-6, 1), (-1, 1): (-6, 1) would not work because it would create two y-values for the x-value of -5. (-1, 1) would work because it is not included in the original set of ordered pairs.

B. (-2, 2), (-1, 1): (-2, 2) would not work because it would create two y-values for the x-value of -2. (-1, 1) would not work because it is already included in the original set of ordered pairs.

C. (-3,0), (-1, 1): (-3, 0) would work because it is not included in the original set of ordered pairs. (-1, 1) would not work because it is already included in the original set of ordered pairs.

D. (-6, 1), (-5, 1): (-6, 1) would not work because it is not one of the answer choices in the set. (-5, 1) would not work because it is already included in the original set of ordered pairs.

Therefore, the answer is C: (-3,0), (-1, 1).
User Matt Lishman
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