Question

Which of the following ordered pairs could not be included in this set if its a function? (-4,2) (3,6) (4,3) (?,?)

Answer 1

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 $y=-3,2$ for $x=-4$.

Since there are more than one output value at $x=-4$, 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.