Question

Bobby drew an arrow diagram to represent the ordered pairs (1,2), (6,12), (12,24), (18,36) and concluded that the relation is not a function. What error did Bobby most likely make?

A) Misinterpreting the direction of the arrows.
B) Ignoring the x-values in the ordered pairs.
C) Incorrectly plotting the points on the graph.
D) Not considering repeated y-values for different x-values.

Answer 1

D) Not considering repeated y-values for different x-values. Bobby most likely made the error of not considering repeated y-values for different x-values.

Step-by-step explanation:

The error that Bobby most likely made is D) Not considering repeated y-values for different x-values.

In a function, each input (x-value) should have a unique output (y-value). If there are different x-values that correspond to the same y-value, the relation is not a function. In Bobby's case, the ordered pairs (1,2) and (6,12) have the same y-value of 2 and 12 respectively, which means that the relation is not a function.

It is important to check for repeated y-values when determining whether a relation is a function or not. Repeated y-values indicate that the relation does not pass the vertical line test and violates the definition of a function.