Question

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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) }

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

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

C) (x, y) = (1, 2)

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

Answer 1

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

Explanation:

we know that

A function is a relation from a set of inputs (independent variable) to a set of possible outputs (dependent variable) where each input is related to exactly one output

we know that

The set of the function is { (-4, 2), (3, 6), (4, 3), (x, y) }

The ordered pair (x, y) = (4, -3)

could not be included, because for the input value of x=4, the function would have two output values (y=-3,y=3) and remember that each input is related to exactly one output