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Which set of ordered pairs does not represent a function?

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

{(-5,-1),(4,-2),(-4,5),(-6,5)}

{(9,8),(-5,6),(6,5),(6,0)}

{(-2,4),(9,-3),(4,-3),(2,8)}

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

Full solution

Q. Which set of ordered pairs does not represent a function?\newline{(6,1),(1,6),(5,6),(1,5)} \{(6,1),(1,-6),(5,-6),(-1,-5)\} \newline{(5,1),(4,2),(4,5),(6,5)} \{(-5,-1),(4,-2),(-4,5),(-6,5)\} \newline{(9,8),(5,6),(6,5),(6,0)} \{(9,8),(-5,6),(6,5),(6,0)\} \newline{(2,4),(9,3),(4,3),(2,8)} \{(-2,4),(9,-3),(4,-3),(2,8)\}
  1. Check Unique XX-Values: To determine if a set of ordered pairs represents a function, we need to check if each input (xx-value) maps to exactly one output (yy-value). A function cannot have the same input mapping to different outputs.
  2. Set 11: Determine Function: Let's examine the first set of ordered pairs: (6,1),(1,6),(5,6),(1,5){(6,1),(1,-6),(5,-6),(-1,-5)}. We need to check if any xx-value is repeated with a different yy-value. Looking at the xx-values: 66, 11, 55, 1-1, we see that they are all unique. Since no xx-value is repeated, this set represents a function.
  3. Set 22: Determine Function: Now, let's examine the second set of ordered pairs: {(5,1),(4,2),(4,5),(6,5)}\{(-5,-1),(4,-2),(-4,5),(-6,5)\}. Again, we check for repeated xx-values. Looking at the xx-values: 5-5, 44, 4-4, 6-6, we see that they are all unique. Since no xx-value is repeated, this set also represents a function.
  4. Set 33: Determine Function: Next, let's examine the third set of ordered pairs: (9,8),(5,6),(6,5),(6,0){(9,8),(-5,6),(6,5),(6,0)}. We need to check for repeated xx-values. Looking at the xx-values: 99, 5-5, 66, 66, we notice that the xx-value 66 is repeated. Since the xx-value 66 maps to two different xx11-values (xx22 and xx33), this set does not represent a function.
  5. Set 44: Determine Function: Finally, let's examine the fourth set of ordered pairs: {(2,4),(9,3),(4,3),(2,8)}\{(-2,4),(9,-3),(4,-3),(2,8)\}. We check for repeated xx-values. Looking at the xx-values: 2-2, 99, 44, 22, we see that they are all unique. Since no xx-value is repeated, this set represents a function.

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