Question

Which set of ordered pairs does not represent a function?
Answer
Multiple Choice Answers
left curly bracket, left parenthesis, minus, 6, comma, minus, 8, right parenthesis, comma, left parenthesis, 3, comma, 2, right parenthesis, comma, left parenthesis, 0, comma, minus, 8, right parenthesis, comma, left parenthesis, 7, comma, minus, 6, right parenthesis, right curly bracket{(−6,−8),(3,2),(0,−8),(7,−6)}
left curly bracket, left parenthesis, 8, comma, minus, 1, right parenthesis, comma, left parenthesis, minus, 4, comma, 4, right parenthesis, comma, left parenthesis, 3, comma, 3, right parenthesis, comma, left parenthesis, 8, comma, 1, right parenthesis, right curly bracket{(8,−1),(−4,4),(3,3),(8,1)}
left curly bracket, left parenthesis, 5, comma, 8, right parenthesis, comma, left parenthesis, 3, comma, 3, right parenthesis, comma, left parenthesis, 1, comma, minus, 6, right parenthesis, comma, left parenthesis, minus, 2, comma, 8, right parenthesis, right curly bracket{(5,8),(3,3),(1,−6),(−2,8)}
left curly bracket, left parenthesis, 4, comma, minus, 2, right parenthesis, comma, left parenthesis, 2, comma, minus, 2, right parenthesis, comma, left parenthesis, minus, 9, comma, 5, right parenthesis, comma, left parenthesis, 3, comma, minus, 8, right parenthesis, right curly bracket{(4,−2),(2,−2),(−9,5),(3,−8)}

Answer 1

To determine which set of ordered pairs does not represent a function, we need to recall that a function assigns exactly one output value for each input value (the first element of each ordered pair). If there are two ordered pairs in the set with the same first element but different second elements, the set does not represent a function.

Let’s analyze each set:

1. **Set 1:** \(\{(-6,-8),(3,2),(0,-8),(7,-6)\}\)
- All first elements (-6, 3, 0, 7) are unique. This set represents a function.

2. **Set 2:** \(\{(8,-1),(-4,4),(3,3),(8,1)\}\)
- The first element 8 appears twice with different second elements (-1 and 1). This set does not represent a function.

3. **Set 3:** \(\{(5,8),(3,3),(1,-6),(-2,8)\}\)
- All first elements (5, 3, 1, -2) are unique. This set represents a function.

4. **Set 4:** \(\{(4,-2),(2,-2),(-9,5),(3,-8)\}\)
- All first elements (4, 2, -9, 3) are unique. This set represents a function.

Based on this analysis, the set that does not represent a function is:

**Set 2:** \(\{(8,-1),(-4,4),(3,3),(8,1)\}\)