Question
Which of these sets of ordered pairs does NOT show a function?
answers:
(2 , -3) , (3, -3) , (1 , 4) , (2 , 9)
(8 , -3) , (3 , 8) , (9 , 4) , (-2 , 2)
(1 , -1) , (4 , 8) , (9 , -1) , (3 , 2)
( 1 , -1) , (-1 , 5) , (1 , -6) , (-3 , 2)
answers:
(2 , -3) , (3, -3) , (1 , 4) , (2 , 9)
(8 , -3) , (3 , 8) , (9 , 4) , (-2 , 2)
(1 , -1) , (4 , 8) , (9 , -1) , (3 , 2)
( 1 , -1) , (-1 , 5) , (1 , -6) , (-3 , 2)
Answers
Answer
you sure
Answered by
GPT-4o mini
To determine which set of ordered pairs does not represent a function, we need to check if any x-value is associated with more than one y-value. In a function, each input (x-value) must have exactly one output (y-value).
Let's analyze each set:
1. **Set 1**: (2 , -3) , (3, -3) , (1 , 4) , (2 , 9)
- The x-value 2 is associated with both -3 and 9. This set does NOT represent a function.
2. **Set 2**: (8 , -3) , (3 , 8) , (9 , 4) , (-2 , 2)
- All x-values (8, 3, 9, -2) are unique. This set represents a function.
3. **Set 3**: (1 , -1) , (4 , 8) , (9 , -1) , (3 , 2)
- All x-values (1, 4, 9, 3) are unique. This set represents a function.
4. **Set 4**: (1 , -1) , (-1 , 5) , (1 , -6) , (-3 , 2)
- The x-value 1 is associated with both -1 and -6. This set does NOT represent a function.
Therefore, the sets that do NOT show a function are **Set 1** and **Set 4**. Since the question asks for one correct answer, the first identified set is sufficient:
**Answer**: (2 , -3) , (3, -3) , (1 , 4) , (2 , 9)
Let's analyze each set:
1. **Set 1**: (2 , -3) , (3, -3) , (1 , 4) , (2 , 9)
- The x-value 2 is associated with both -3 and 9. This set does NOT represent a function.
2. **Set 2**: (8 , -3) , (3 , 8) , (9 , 4) , (-2 , 2)
- All x-values (8, 3, 9, -2) are unique. This set represents a function.
3. **Set 3**: (1 , -1) , (4 , 8) , (9 , -1) , (3 , 2)
- All x-values (1, 4, 9, 3) are unique. This set represents a function.
4. **Set 4**: (1 , -1) , (-1 , 5) , (1 , -6) , (-3 , 2)
- The x-value 1 is associated with both -1 and -6. This set does NOT represent a function.
Therefore, the sets that do NOT show a function are **Set 1** and **Set 4**. Since the question asks for one correct answer, the first identified set is sufficient:
**Answer**: (2 , -3) , (3, -3) , (1 , 4) , (2 , 9)
Answered by
GPT-4o mini
Let's re-examine the ordered pairs in each set to ensure clarity and accuracy regarding whether they represent a function.
1. **Set 1**: (2 , -3), (3 , -3), (1 , 4), (2 , 9)
- The x-value **2** appears twice: once with y = -3 and once with y = 9. This set does **NOT** represent a function.
2. **Set 2**: (8 , -3), (3 , 8), (9 , 4), (-2 , 2)
- All x-values (8, 3, 9, -2) are unique. This set does represent a function.
3. **Set 3**: (1 , -1), (4 , 8), (9 , -1), (3 , 2)
- All x-values (1, 4, 9, 3) are unique. This set does represent a function.
4. **Set 4**: (1 , -1), (-1 , 5), (1 , -6), (-3 , 2)
- The x-value **1** appears twice: once with y = -1 and once with y = -6. This set does **NOT** represent a function.
So, the two sets that do NOT represent a function are indeed **Set 1** and **Set 4**.
If you only want one answer from the options, either would be correct, but:
**Final conclusion**:
The first set: **(2 , -3), (3, -3), (1 , 4), (2 , 9)** does not represent a function.
Thank you for rechecking this with me!
1. **Set 1**: (2 , -3), (3 , -3), (1 , 4), (2 , 9)
- The x-value **2** appears twice: once with y = -3 and once with y = 9. This set does **NOT** represent a function.
2. **Set 2**: (8 , -3), (3 , 8), (9 , 4), (-2 , 2)
- All x-values (8, 3, 9, -2) are unique. This set does represent a function.
3. **Set 3**: (1 , -1), (4 , 8), (9 , -1), (3 , 2)
- All x-values (1, 4, 9, 3) are unique. This set does represent a function.
4. **Set 4**: (1 , -1), (-1 , 5), (1 , -6), (-3 , 2)
- The x-value **1** appears twice: once with y = -1 and once with y = -6. This set does **NOT** represent a function.
So, the two sets that do NOT represent a function are indeed **Set 1** and **Set 4**.
If you only want one answer from the options, either would be correct, but:
**Final conclusion**:
The first set: **(2 , -3), (3, -3), (1 , 4), (2 , 9)** does not represent a function.
Thank you for rechecking this with me!