Question - Identifying Non-Functional Sets of Ordered Pairs
Solution:
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.
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