Which of the following pairs could represent a function? Select three that apply.

A: {(2,-5),(4,-5), (6,2), (8,3)}**
B: {(-1,5),(3,5),(6,5), (9,5)}**
C: {(3,-4),(5,2), (3,8), (6,7)}
D: {(0,3), (4,2),(-1,7), (0,3)}
E: {(-1,1),(-1,6),(-1,8), (-1,0)}
F: {(-4, 2),(3,-2), (-4,-2), (5,1)}

We are supposed to select three that are correct, but I've only figured out 2 so far. Can anyone help me figure out the third one? Thanks in advance.

as long as each x value appears only once, it is probably a function. So, I'd pick A and B on that basis.

D also works. While 0 appears twice as the first element, the 2nd element is the same. So, the pair (0,3) appears twice, but it does not violate the rules for functions.

^^ simple version of what steve said:

even tho the x-value "0" appears twice, it doesn't count because it has the same y-value, so they overlap each other.
so if you were to graph it, you would only see 3 points, even tho there are really 4.

To determine which of the given pairs represent a function, we need to check if each input value (x-coordinate) is associated with exactly one output value (y-coordinate). If any input value is associated with more than one output value, then it does not represent a function.

Now, let's analyze the given options:

A: {(2,-5),(4,-5),(6,2),(8,3)} - This pair represents a function because each input value is associated with exactly one output value.

B: {(-1,5),(3,5),(6,5),(9,5)} - This pair also represents a function because each input value is associated with exactly one output value.

C: {(3,-4),(5,2),(3,8),(6,7)} - This pair does not represent a function because the input value 3 is associated with two different output values (-4 and 8).

D: {(0,3),(4,2),(-1,7),(0,3)} - This pair does not represent a function because the input value 0 is associated with two different output values (3 and 3).

E: {(-1,1),(-1,6),(-1,8),(-1,0)} - This pair does not represent a function because the input value -1 is associated with four different output values (1, 6, 8, and 0).

F: {(-4,2),(3,-2),(-4,-2),(5,1)} - This pair represents a function because each input value is associated with exactly one output value.

Based on the analysis above, the correct options that represent a function are A, B, and F.

Ans: A, B, and D. I just did it. Thank you steve and Honors student. They have correct and. with the correct explanation.