Question

Given the ordered pairs below, is

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine if the given ordered pairs {(-2,0),(0,4),(1,6),(2,8)} form a related function, we need to check if each x-value (input) is associated with exactly one y-value (output).

In this case, we can see that for each unique x-value, there is only one corresponding y-value. For example, when x = -2, the y-value is 0. When x = 0, the y-value is 4. When x = 1, the y-value is 6. When x = 2, the y-value is 8.

Since there is no repetition of x-values with different y-values, and each x-value is associated with exactly one y-value, these ordered pairs form a related function.

Answer 3

[AI-generated answer — Explain Bot]

To determine if the given set of ordered pairs {(-2,0),(0,4),(1,6),(2,8)} represents a related function, we need to check if each x-value (first value in each ordered pair) is associated with only one y-value (second value in each ordered pair).

In this set, each x-value (x-coordinate) appears only once. For example, -2 appears once, 0 appears once, 1 appears once, and 2 appears once.

Now, we need to check if each x-value is associated with only one y-value. If there is any x-value that is associated with multiple y-values, then this set of ordered pairs does not represent a function.

Looking at the set, for each x-value, we have unique y-values:
- For x = -2, the corresponding y-value is 0.
- For x = 0, the corresponding y-value is 4.
- For x = 1, the corresponding y-value is 6.
- For x = 2, the corresponding y-value is 8.

Since each x-value is associated with only one y-value, the set of ordered pairs {(-2,0),(0,4),(1,6),(2,8)} does represent a related function.