Question

(04.01) Which point could be removed in order to make the relation a function? (4 points) {(0, 2), (3, 8), (−4, −2), (3, −6), (−1, 8), (8, 3)} (8, 3) (3, −6) (−1, 8) (−4, −2)

Answer 1

a function will not have any repeating x values...it can have repeating y values, just not the x ones

{(0,2),(3,8),(-4,-2),(3,-6),(-1,8),(8,3)}
u would have to remove one of the sets of points that has 3 as its x value....so either remove (3,8) or (3,-6)....because with both of them in there, u have repeating x values

Answer 2

(3,8)

Explanation:

If you remove point (3,8), the relation becomes a function because this point is the one that violates the definition of function.

If you decide to remove (3,-6), you still would have two points with the same domain element with two different range elements.

So, the most clever move here is to remove (3,8), because that way you would have (3,-6) repeating itself twice, which doesn't matter, because both expresse the same point.

Therefore, the point you need to remove in order to get a function is (3,8)