Given:
The set of ordered pair (-4,2), (3,6), (4,3), (?,?).
To find:
The ordered pairs that could not be included in this set if its a function.
Solution:
We know that, a relation or a set of ordered pairs is a function if there exist a unique output (y-value) for each input (x-value).
If (-4,-3) point is included in the given set of ordered pair, then we have for
.
Since there are more than one output value at , therefore the given set of ordered pairs will not be a functions after including the point (-4,-3).
If points (1,2), (3,6) and (-3,6) are included in the given set of ordered pair, then there exist a unique output for each input.
So, the given set of ordered pairs will be a functions after including the points (1,2), (3,6) and (-3,6).
Therefore, the correct option is A.