Is the following set a function?
{(3, 4), (1, 2), (4, 9), (6, 15)}
Thank you
are there any pairs with the same 1st element?
If not, it is a function.
Thank you Steve for your help and understanding.
To determine if the given set is a function, we need to check whether each input in the set has a unique mapping to an output. In other words, each x-coordinate (input) should have only one corresponding y-coordinate (output).
Looking at the set {(3, 4), (1, 2), (4, 9), (6, 15)}, we can see that each x-coordinate appears only once. Now, we need to verify if each x-coordinate has a unique y-coordinate.
To do this, we can check if there are any repeated x-coordinates. If there are any repeated x-coordinates, then it means that the set fails the condition of having unique mappings.
In this set, there are no repeated x-coordinates. Hence, every x-coordinate has a unique y-coordinate. Therefore, the given set {(3, 4), (1, 2), (4, 9), (6, 15)} is indeed a function.
In general, when determining if a set is a function, you should check if there are any repeated x-coordinates. If there are no repeated x-coordinates, then the set is a function. If there are repeated x-coordinates, you should check if they have different corresponding y-coordinates.