Given the ordered pairs below, is

Question

{(-2,0),(0,4),(1,6),(2,8)}
a related function? explain why or why not.

Answer 1

To determine whether the given ordered pairs represent a related function, we need to check if each input (x-value) is associated with a unique output (y-value).

In the given set of ordered pairs, we have:
(-2, 0)
(0, 4)
(1, 6)
(2, 8)

We can see that each x-value corresponds to a unique y-value. For example, when x = -2, y = 0. When x = 1, y = 6. There are no repeated x-values with different y-values, so each x-value is associated with only one y-value.

Therefore, based on the given ordered pairs, we can conclude that the set {(-2,0),(0,4),(1,6),(2,8)} represents a related function.