Identifying Non-Functional Sets of Ordered Pairs
The question asks which set of ordered pairs does not represent a function.
For a set of ordered pairs to represent a function, each input (the first number in each pair, also known as the x-value) must have exactly one output (the second number in each pair, also known as the y-value). If an input is paired with more than one output, the set of pairs does not represent a function.
Looking at the options:
A) (1,0), (3,18), (5,26), (7,34), (9,42)
- Each input has a unique output, thus represents a function.
B) (2,10), (3,24), (4,15), (5,6), (6,25)
- Each input has a unique output, thus represents a function.
C) (0,8), (5,4), (10,0), (15,4), (20,8)
- Each input has a unique output, thus represents a function.
D) (1,9), (2,6), (2,3), (6,4), (9,5)
- The input '2' is paired with two different outputs '6' and '3'. This means the set does not represent a function.
The correct answer is D, because it has a repeated x-value with different y-values.
