Question

Which of these sets of ordered pairs does NOT show a function?
Hint: Remember, the x-values should not repeat if it is a function
{(2,-3),(3,-3),(1,4),(9,2)}
[(8,-3),(3,8),(9,4),(-2,2)}
{(1,-1),(4,8),(9,-1),(3,2)}
{(1,-1),(-1,5),(1,-6),(-3,2)}

Answer 1

To determine which of the given sets of ordered pairs does not represent a function, we need to look for repeated x-values. In a function, each x-value must map to exactly one y-value.

Let's analyze each set:

1. **Set 1**: \{(2,-3),(3,-3),(1,4),(9,2)\}
- x-values: 2, 3, 1, 9 (all unique)
- This is a function.

2. **Set 2**: \{(8,-3),(3,8),(9,4),(-2,2)\}
- x-values: 8, 3, 9, -2 (all unique)
- This is a function.

3. **Set 3**: \{(1,-1),(4,8),(9,-1),(3,2)\}
- x-values: 1, 4, 9, 3 (all unique)
- This is a function.

4. **Set 4**: \{(1,-1),(-1,5),(1,-6),(-3,2)\}
- x-values: 1 (appears twice with different y-values: -1 and -6), -1, -3
- This is NOT a function because the x-value 1 maps to two different y-values.

Therefore, the set that does NOT show a function is **Set 4**: \{(1,-1),(-1,5),(1,-6),(-3,2)\}.