Question

Which graph shows a set of ordered pairs that represents a function?

( I can't attach the pictures so I will write the coordinates for each)
A: (-5,4),(-3,2),(-1,3),(1,1),(1,-2),(3,-3)
B: (-5,2),(-3,4),(-2,2),(-4,-4),(1,-2),(4,3)
C: (-4,2),(-1,4),(1,0),(2,3),(3,1),(2,-3)
D: (-4,2),(-3,4),(-2,1),(-3,-4),(1,-3),(3,-1)

(They aren't attached by any lines or anything)

Answer 1

B represents a function.

Explanation:

Recall these characteristics of a "function:"

Only one y-value can be associated with each x-value.

Thus, A could not represent a function because there are two points with x = 1 and two different y-values: (1, 1) and (1, -2).

B represents a function because for each input (x-value) there is one and only one y-value associated.

C not a function: (2, 3) and (2, -3) have two different y-values associated with one x-value (2).

D not a function: (-3, 4) and (-3, -4) (see A and C, above)