Question

Which set of ordered pairs does not represent a function?
(1 point)
Responses

{(6,4),(−1,−9),(−9,1),(−2,−1)}
{(6,4),(−1,−9),(−9,1),(−2,−1)}

{(−6,−8),(−9,8),(6,9),(5,8)}
{(−6,−8),(−9,8),(6,9),(5,8)}

{(3,−8),(−4,0),(−9,−1),(8,0)}
{(3,−8),(−4,0),(−9,−1),(8,0)}

{(−6,9),(−7,1),(−4,−2),(−4,5)}

Answer 1

A set of ordered pairs represents a function if each input (or x-value) is associated with exactly one output (or y-value). To determine which of the given sets does not represent a function, we need to check for repeated x-values with different y-values.

Let's analyze each set:

1. **{(6,4),(−1,−9),(−9,1),(−2,−1)}**
- All x-values (6, -1, -9, -2) are unique. This set does represent a function.

2. **{(−6,−8),(−9,8),(6,9),(5,8)}**
- All x-values (-6, -9, 6, 5) are unique. This set does represent a function.

3. **{(3,−8),(−4,0),(−9,−1),(8,0)}**
- All x-values (3, -4, -9, 8) are unique. This set does represent a function.

4. **{(−6,9),(−7,1),(−4,−2),(−4,5)}**
- The x-value -4 is used twice with different y-values (-2 and 5). This set does not represent a function.

The set that does not represent a function is **{(−6,9),(−7,1),(−4,−2),(−4,5)}**.