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Which of the following relations is a function?

OA. (1,4), (-5, 2), (7, 1), (-8, 2)
OB.
(1,4), (-5, 6), (1, 3), (-8, 2)
OC. (1,0), (-5,3), (7, 1), (-5,5)
OD. (7, 1), (-5, 4), (1, 1), (7,2)

User Abouasy
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1 Answer

6 votes

Answer:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

Explanation:

Definition of a Function

A function is a relation between an input and an output set of values with the condition that every element in the input set relates only to one element in the output set.

From the four options presented in the question, we must select the only one that doesn't repeat the value for x and has a different value of y.

For example, the set

B. (1,4), (-5, 6), (1, 3), (-8, 2) is not a function because the input value of 1 has two different output values

C. (1,0), (-5,3), (7, 1), (-5,5) is not a function either because the input value of -5 has two different output values

The correct choice is:

A. (1,4), (-5, 2), (7, 1), (-8, 2)

User Imdad Ali
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