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Which of the following represents a relation that is not a function?

A. ( x-9-6 )
( y ) 26 24 32 26

B. ( x -9-6-2 4 )
( y ) 26 24 32 26

C. ( x )
( y ) 26 24 32 26
( -6 10-9 )

D. ( x )
( -9-6-9 )
( y ) 26 24 32 26

1 Answer

3 votes

Final answer:

A relation is not a function if an input corresponds to more than one output. Options B and D both show the same input with different outputs, which means they are not functions.

Step-by-step explanation:

The question provided represents a mathematics problem, specifically asking which of the sets of ordered pairs is not a function. By definition, a function is a relation in which each input has exactly one output. If any input value corresponds to more than one output value, then the relation is not a function.

Looking at the provided options, the pairs in option B and D both show the same input with different outputs:

  • B. ( x -9-6-2 4 ) ( y ) 26 24 32 26
  • D. ( x ) ( -9-6-9 ) ( y ) 26 24 32 26

Since the inputs -9 and -6 in option B correspond to both 26 and 24 as outputs, and similarly, the input -9 in option D corresponds to 26 and 32 as outputs, these options represent relations that are not functions.

User Eddiewould
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