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Which set of ordered pairs in the form (x,y) does not represent a function of x?
A {(-1,2),(3,-2),(0,1),(5,2)}
B. {(-1,2),(3,2),(-2,2),(0,2)}
C. {(-1,2),(3,-2),(0,1),(3,5)}
D. {(-1,2),(2,3),(3,-2),(-2,0)}

Respuesta :

metchelle
If we are going to analyze the sets of ordered pairs listed above, we can easily spot which set of ordered pairs in the form of (x,y) that does not represent a function of x. If the first coordinates of each ordered pair are all different, then it is a function; but if the first coordinates have repeated numbers, then it is not. Therefore, the answer would be option C. Notice that 3 is repeated. Hope this helps.

Answer:

Option C

Step-by-step explanation:

A function is a relation that does not contain two pairs with same first component.

Option A

{(-1,2),(3,-2),(0,1),(5,2)}  is a function, since there are no two pairs with the same first component.

option B

{(-1,2),(3,2),(-2,2),(0,2)} is a function, since there are no two pairs with the same first component.

option C

{(-1,2),(3,-2),(0,1),(3,5)} is not a function, since there are two pairs with the same first component i.e, 3

OptionD

{(-1,2),(2,3),(3,-2),(-2,0)} is a function, since there are no two pairs with the same first component.

So, {(-1,2),(3,-2),(0,1),(3,5)} is the required  answer.




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