Question

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)}

Answer 1

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 2

Option C

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.