which relation is a function?
a.{(-4,-6), (-3,-2), (1,-2), (1,0)}

b.{( 8,1), (4,1), (0,1), (-15,1)}

c. {(0,1), (0,2), (1,2), (1,3)}

d. {( -2,-12), (-2,0), (-2,4), ( -2,11)]


Respuesta :

In order to be a function, a relation must not have any repeated x-values.

So looking into the points of all of the relations listed, we see that in 'a', there are two points sharing the same value of x: (1,-2) and (1,0).

In 'b', we see that there are no repeated x-values.

In 'c', there are two points that share the same x-value: (0,1) and (0,2).

And in 'd', all of the points share the same x-value, being -2.

Therefore, since 'b' is the only choice with no repeated x-values, choice b is the answer.