What is the largest value of x that would make the following list of a points not a function.
{(___,15), (4, 17), ( 15, 21))
The points (4, 17) and (15, 21) do not affect the function. The x-value of 15 in the last pair would no longer make the list a function.
What answer goes in the first blank?
For the list to be a function, each input x must be associated with exactly one output y. In this case, the x-value 15 is repeated, so we must choose a different value for the first blank that is not equal to 15 in order for the list to be a function.
Therefore, any number except for 15 can be placed in the first blank to make the list a function.
what is the largest number that would make the list not a function?
The largest number that would make the list not a function is 15. Since the x-value 15 is repeated with different y-values (15, 21), it violates the rule that each input must be associated with exactly one output in a function.
so the first blank is 15?
Apologies for the confusion. Let me clarify:
In the list: {(___,15), (4,17), (15, 21)}
The first blank should not be filled with 15 as it would result in the x-value 15 being repeated with two different y-values (15, 21), breaking the definition of a function.
The largest value that can be placed in the first blank to keep the list as a function is any number except 15.