Question

A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function? please help.

1) (0, 2)

2) (1, 3)

3) (5, 3)

4) (7, 0)

Answer 1

I believe the answer is 3!

Answer 2

ANSWER

$(1,3)$

EXPLANATION

The given set of ordered pairs for the function is
$(0, 1), (2, 3), (5, 8), (7, 2)$

If Isaac must create one more pair so that the set will still be a function, then he can only add a point whose x-coordinate has not already occurred in the set.

The reason is that, a function must not have an x-value that has many y-values.

Among the given options, the only point whose first coordinate has not already occurred in the ordered pairs is
$(1,3)$

Therefore the correct answer is option 2.