Question

The table shows a relation that is a function, where is x the input and y is the output. Which ordered pairs could be included in the table so that the relation remains a function? Select each correct answer.

X -4 -2 1 0
Y 6 0 -4 3
A. (-4,2)
B. (0,0)
C. (1,2)
D. (2,-4)
E. (4,0)
F. (-1,5)

Answer 1

To ensure that the relation remains a function, each x-value must be paired with only one y-value. The correct ordered pairs are (-4, 2), (-2, 0), (1, -4), and (0, 3).

Step-by-step explanation:

To determine which ordered pairs could be included in the table so that the relation remains a function, we need to make sure that each input (x-value) corresponds to exactly one output (y-value). In other words, each x-value must be paired with only one y-value.

Looking at the given table, we can see that the x-values -4, -2, 1, and 0 each have a unique y-value. Therefore, the correct ordered pairs are (-4, 2), (-2, 0), (1, -4), and (0, 3).