Question

What is the largest value of x that would make the following list of a points not a function {(_,13),(9,16),(13,20))

Answer 1

In order for a list of points to be considered a function, each input value (x-coordinate) must correspond to only one output value (y-coordinate).

Looking at the given list of points:
{(_,13),(9,16),(13,20)}

There is a missing value for the x-coordinate of the first point. To make this list of points a function, the largest value of x that would still make it a function is to provide a value such that the x-coordinate does not repeat.

Therefore, the largest value of x that could be added while still keeping it a function is 12.

This would result in the following updated list of points:
{(12,13),(9,16),(13,20)}

Now, each x-coordinate corresponds to a unique y-coordinate, and the list forms a function.