which of the following ordered pair could not be included in this set if it is a function? { (-4, 2), (3, 6), (4, 3), (x, y) }

(x, y) = (4, -3)

(x, y) = (3, 6)

(x, y) = (1, 2)

(x, y) = (-3, 6)

Why is this the answer?

The x value x = 4 shows up in the point (4, 3), which is in the given function set. Adding (4, -3) to this set will have x = 4 show up twice. We cannot have one x value pair up with more than one y value. In other words, any input cannot map to more than one output. Visually, the two points (4,3) and (4,-3) will fail the vertical line test, which means we wouldnt have a function.

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