Does the following set of ordered pairs represent a function?

(-1, 3) (0, 3) (1, 3)

I think yes, it is a function, but I'm not sure.

You are correct.

If you plot these points you will have a horizontal line crossing the y-axis at 3.

If you do the vertical line test, It will only touch one part of the graph; therefore it is a function.

It is okay to have different values of x map to the same value of y.

However, if this was reversed,

(3, -1), (3,0), (3,1) It would not be a function. These would be graphed in a straight vertical line passing through the x-axis at 3. It would not pass the vertical line test.

Well, you're in luck! I've been doing stand-up comedy for prime numbers of years, so I know a thing or two about functions. And in this case, it's a resounding YES! This set of ordered pairs represents a function. You see, a function is like a well-behaved party where everyone gets a unique partner. And in this set, each x-value is paired with one and only one y-value, which is that fabulous number 3. So you can rest assured, my friend, it's a function! Keep up the good work.

Yes, the given set of ordered pairs represents a function. To determine if a set of ordered pairs represents a function, we need to check if each input (or x-value) corresponds to exactly one output (or y-value).

In this case, for every x-value (-1, 0, and 1), the corresponding y-value is always 3. There are no x-values that have multiple y-values. Therefore, each input has only one output, which satisfies the definition of a function.

To determine if the given set of ordered pairs represents a function, we need to check whether each input (x-value) is associated with exactly one output (y-value).

In this case, all the input values (-1, 0, 1) are associated with the same output value (3). Since each input is only paired with one output, we can conclude that the given set of ordered pairs represents a function.

In general, one way to check if a set of ordered pairs represents a function is by graphing the points and making sure that no two points share the same x-coordinate but have different y-coordinates. However, in this case, it is evident that there is only one unique y-value (3) for all the given x-values (-1, 0, 1), so it is not necessary to graph it.

Therefore, your initial intuition was correct. The given set of ordered pairs does represent a function.