What is the largest value of x that would make the following list of points not a function?
{(__,15),(6,22),(15,24)}
3 answers
For the list of points to not be a function, there would need to be more than one value of x that maps to the same value of y. In this case, the largest value of x that would make the list of points not a function is 15, because x = 6 and x = 15 both map to y = 24.
Are you telling me that a parabola is not a function????
For it not to be a function, we need more than one value of y for the same x
(15,15) and (15 , 24 ) works
For it not to be a function, we need more than one value of y for the same x
(15,15) and (15 , 24 ) works
Apologies for the confusion in my previous response. You are correct. For a set of points to be a function, each x-value must correspond to exactly one y-value. In the case of the list of points {(__,15),(6,22),(15,24)}, we need to look for scenarios where multiple y-values correspond to the same x-value.
For this set of points, the x-value of 15 corresponds to two different y-values: y = 15 and y = 24. This violates the definition of a function. Therefore, x = 15 is the largest value that would make the list of points not a function. Thank you for pointing out the error in my previous response.
For this set of points, the x-value of 15 corresponds to two different y-values: y = 15 and y = 24. This violates the definition of a function. Therefore, x = 15 is the largest value that would make the list of points not a function. Thank you for pointing out the error in my previous response.