Question

Which set of ordered pairs represents a function?
Answer
Multiple Choice Answers
left curly bracket, left parenthesis, minus, 5, comma, 1, right parenthesis, comma, left parenthesis, 2, comma, minus, 9, right parenthesis, comma, left parenthesis, 7, comma, minus, 7, right parenthesis, comma, left parenthesis, minus, 4, comma, minus, 7, right parenthesis, right curly bracket{(−5,1),(2,−9),(7,−7),(−4,−7)}
left curly bracket, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma, left parenthesis, minus, 1, comma, 1, right parenthesis, comma, left parenthesis, 8, comma, 8, right parenthesis, comma, left parenthesis, 3, comma, minus, 9, right parenthesis, right curly bracket{(−1,−6),(−1,1),(8,8),(3,−9)}
left curly bracket, left parenthesis, 4, comma, 4, right parenthesis, comma, left parenthesis, minus, 8, comma, 4, right parenthesis, comma, left parenthesis, minus, 8, comma, minus, 1, right parenthesis, comma, left parenthesis, 5, comma, 0, right parenthesis, right curly bracket{(4,4),(−8,4),(−8,−1),(5,0)}
left curly bracket, left parenthesis, 4, comma, minus, 7, right parenthesis, comma, left parenthesis, 4, comma, 1, right parenthesis, comma, left parenthesis, 7, comma, 8, right parenthesis, comma, left parenthesis, minus, 5, comma, minus, 8, right parenthesis, right curly bracket{(4,−7),(4,1),(7,8),(−5,−8)}

Answer 1

To determine which set of ordered pairs represents a function, we need to check if each input (the first element of each pair) is associated with exactly one output (the second element of the pair). If any input is associated with more than one output, it does not represent a function.

Let's analyze each option:

1. **Set 1: {(−5,1),(2,−9),(7,−7),(−4,−7)}**
- Inputs: -5, 2, 7, -4
- Each input is unique and associated with one output. This set represents a function.

2. **Set 2: {(−1,−6),(−1,1),(8,8),(3,−9)}**
- Inputs: -1 (appears twice), 8, 3
- The input -1 is associated with two different outputs (-6 and 1). This set does not represent a function.

3. **Set 3: {(4,4),(−8,4),(−8,−1),(5,0)}**
- Inputs: 4, -8 (appears twice), 5
- The input -8 is associated with two different outputs (4 and -1). This set does not represent a function.

4. **Set 4: {(4,−7),(4,1),(7,8),(−5,−8)}**
- Inputs: 4 (appears twice), 7, -5
- The input 4 is associated with two different outputs (-7 and 1). This set does not represent a function.

The only set that represents a function is **Set 1**: {(−5,1),(2,−9),(7,−7),(−4,−7)}.