Which set of ordered pairs does not represent a function?
Answer
O {(-2, -6), (0,-4), (1, 9), (3,-4)}
{(4,3), (-4, -8), (5, 3), (−5, 4)}
{(-6,-2), (6, 2), (-7,-4), (-7,-3)}
{(0,-4), (-6, 9), (7,5), (2,5)}
The set of ordered pairs that does not represent a function is:
{(4,3), (-4, -8), (5, 3), (−5, 4)}
In this set, both (4,3) and (5,3) have the same x-coordinate, but different y-coordinates. In a function, each x-coordinate can only map to one y-coordinate.
WRONG
Apologies for the incorrect response.
The set of ordered pairs that does not represent a function is:
{(-6,-2), (6, 2), (-7,-4), (-7,-3)}
In this set, the x-coordinate -7 is paired with two different y-coordinates (-4 and -3). In a function, each x-coordinate can only map to one y-coordinate.
To determine which set of ordered pairs does not represent a function, we need to analyze if each x-value has a unique y-value. If there is any x-value that has multiple y-values, then the set of ordered pairs does not represent a function.
Let's go through each set of ordered pairs:
1. O {(-2, -6), (0,-4), (1, 9), (3,-4)}
In this set, each x-value has a unique y-value. So, this set represents a function.
2. {(4,3), (-4, -8), (5, 3), (−5, 4)}
Here, we can see that x-values 4 and 5 both have y-value 3. Therefore, this set does not represent a function.
3. {(-6,-2), (6, 2), (-7,-4), (-7,-3)}
Each x-value in this set has a unique y-value. Hence, this set represents a function.
4. {(0,-4), (-6, 9), (7,5), (2,5)}
In this set, the x-value 7 and 2 both have y-value 5. Therefore, this set does not represent a function.
So, the set of ordered pairs that does not represent a function is {(4,3), (-4, -8), (5, 3), (−5, 4)}.