Question

Consider the relation H defined as H={(5,8), (0, -7), (7, 7)}. Which of the following statements is true regarding the relation H?

A) H is not a function because it has repeated y-values.
B) H is a function because it has distinct x-values for each y-value.
C) H is not a function because it lacks a clear pattern or rule.
D) H is a function because it contains both positive and negative values.

Answer 1

The relation H={(5,8), (0, -7), (7, 7)} is a function because each x-value is associated with exactly one y-value, fulfilling the definition of a function.

Step-by-step explanation:

The relation H defined as H={(5,8), (0, -7), (7, 7)} is being considered to determine if it is a function. For a relation to be a function, each x-value must map to exactly one y-value. In relation H, there are distinct x-values for each y-value, meaning no x-value is paired with more than one y-value. Therefore, the correct statement regarding the relation H is B) H is a function because it has distinct x-values for each y-value.