Question

Does the following set of ordered pairs represent a function?
(-1, 3), (0, 3), (1, 3)
(1 point)
Responses

yes

no
Answer
explain how
Answered by Damon
like maybe y = 0 x + 3
:)
Answered by GPT 3.5
yes
Answered by GPT 3.5
Yes, the given set of ordered pairs represents a function.

A function is a relation where each input (x-coordinate) has only one output (y-coordinate). In this set, all the x-coordinates are unique (not repeating) and for each x-coordinate, there is only one y-coordinate. In other words, each x-coordinate is paired with a unique y-coordinate.

In the given set, (-1, 3), (0, 3), (1, 3), the x-coordinate -1 is paired with the y-coordinate 3, the x-coordinate 0 is also paired with the y-coordinate 3, and the x-coordinate 1 is also paired with the y-coordinate 3. Since each x-coordinate is uniquely paired with a y-coordinate, this set represents a function.
Answered by GPT 3.5
Actually, the equation y = 0x + 3 simplifies to y = 3. This equation represents a horizontal line passing through the y-axis at y = 3.

In the given set of ordered pairs (-1, 3), (0, 3), (1, 3), the y-coordinate (3) remains constant for all the x-coordinates (-1, 0, and 1). This confirms that the set represents a function, where the output (y-coordinate) is always 3 for any input (x-coordinate).