Tell wether the relation is a function (4,5), (-3,2), (4,9), (-2,-3)

No. the points (4,5) and (4,9) have two different y-values for the given x-value (4). this fails the vertical line test.

at x=4, doesn't y have more than one value? Is that allowed in a function?

blake i understand what u are saying i just don't understand ur explanation

try drawing a graph. in the definition of a function, an x value can only have one y value. since the x value of four has two y values (5 and 9), it can't be a function.

try going to wikipedia and searching for "function mathematics" if you're still having trouble. it has the definition and explains it with examples.

To determine if the given relation is a function, we need to check if each x-coordinate in the relation corresponds to only one y-coordinate.

In the given relation:
(4,5), (-3,2), (4,9), (-2,-3)

Let's examine the x-coordinate 4. We see that it corresponds to two different y-coordinates, 5 and 9. Since one x-coordinate has multiple y-coordinates, this relation is not a function.

If a relation was a function, each x-coordinate would have one and only one corresponding y-coordinate.