Question

Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 -. 1 2 3 4 5 6 7 8 9 10 11 A. No, because two points with the same x-value have different y values. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same y-value have different x- values. D. Yes, because every x- and y-value is positive.​

Answer 1

Answer: A. No, because two points with the same x-value have different y values.

Step-by-step explanation: A function is a relation in which each element in the domain (the set of x-values) is paired with exactly one element in the range (the set of y-values). If there are two points with the same x-value but different y-values, then there is more than one y-value for a given x-value, which violates the definition of a function. Therefore, the given relation is not a function.