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Which set of ordered pairs does not represent a function?

{(6,7),(5,-6),(9,7),(-1,1)}

{(-6,7),(9,2),(-6,8),(-9,-8)}

{(5,7),(-3,1),(9,2),(4,1)}

{(8,-4),(-9,-4),(3,4),(0,-9)}

Which set of ordered pairs does not represent a function?\newline{(6,7),(5,6),(9,7),(1,1)} \{(6,7),(5,-6),(9,7),(-1,1)\} \newline{(6,7),(9,2),(6,8),(9,8)} \{(-6,7),(9,2),(-6,8),(-9,-8)\} \newline{(5,7),(3,1),(9,2),(4,1)} \{(5,7),(-3,1),(9,2),(4,1)\} \newline{(8,4),(9,4),(3,4),(0,9)} \{(8,-4),(-9,-4),(3,4),(0,-9)\}

Full solution

Q. Which set of ordered pairs does not represent a function?\newline{(6,7),(5,6),(9,7),(1,1)} \{(6,7),(5,-6),(9,7),(-1,1)\} \newline{(6,7),(9,2),(6,8),(9,8)} \{(-6,7),(9,2),(-6,8),(-9,-8)\} \newline{(5,7),(3,1),(9,2),(4,1)} \{(5,7),(-3,1),(9,2),(4,1)\} \newline{(8,4),(9,4),(3,4),(0,9)} \{(8,-4),(-9,-4),(3,4),(0,-9)\}
  1. Recall Function Definition: Recall the definition of a function.\newlineA set of ordered pairs represents a function if for every xx-value there is exactly one yy-value associated with it. This means that an xx-value cannot be paired with more than one yy-value.
  2. Examine First Set: Examine the first set of ordered pairs.\newlineSet 11: (6,7),(5,6),(9,7),(1,1){(6,7),(5,-6),(9,7),(-1,1)}\newlineCheck if any xx-value is repeated with different yy-values.\newlineIn this set, each xx-value is unique, so this set represents a function.
  3. Examine Second Set: Examine the second set of ordered pairs.\newlineSet 22: (6,7),(9,2),(6,8),(9,8){(-6,7),(9,2),(-6,8),(-9,-8)}\newlineCheck if any xx-value is repeated with different yy-values.\newlineIn this set, the xx-value 6-6 is paired with two different yy-values: 77 and 88. This means that this set does not represent a function.

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