Question

Which relation is not a function.

A. (2,9), (-1,-5), (1,5), (5,0), (12,3)
B. (-3, 1), (6,2), (8,3), (6,4), (3,5)
C. (5, 1), (4,2), (3, 3), (2, 4), (1,5)
D. (7,2), (5,3), (3, 4), (1,5),(-1,6)

Answer 1

Option B is not a function because the x-value 6 is paired with two different y-values (2 and 4), violating the definition of a function.

Step-by-step explanation:

The question asks which set of ordered pairs does not represent a function. A function is a relation where each input (x-value) has exactly one output (y-value). If a relation has the same x-value paired with more than one y-value, it is not a function. Let's examine each option:

• Option A: All x-values are unique, so this is a function.
• Option B: The x-value 6 is paired with both 2 and 4, which means it's not a function.
• Option C: All x-values are unique, so this is a function.
• Option D: All x-values are unique, so this is a function.

Therefore, the answer is Option B, as it violates the definition of a function by having one x-value paired with multiple y-values.