Question

What is the range of the given function?

{(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)}

x = -5, -4, -2, 0, 2
{y l y = -9, -3, 0, 5, 7}
O (x | x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
O tyl y = -9, -5, -4, -3, -2, 0, 2, 5, 7}

Answer 1

{-9, -3, 0, 5, 7}

Explanation:

Well, you already have the relation of the function. The domain of a function are its x coordinates and the range are all the y coordinates:

0, -3, -9, 5, 7

We write them in ascending order:

-9, -3, 0, 5, 7

And this way we get the range

It is important to check if the coordinates you are given can form a function. In this case they do, but in other cases they might not.

If you have coordinates where for example there are two equal values of x but the y is different in both, for example (1, 2) and (1, 5), this cannot be a function because y can be on two possible destinations for the same value of x.