Question
This table shows a relation that is a function.
x: -4 y: 4
x: 7 y: -2
x: 0 y: 9
x: -1 y: 5
Which of the following ordered pairs could be included in the table and have the relation remain a function? Select all that apply.
A.) (2, 4)
B.) (0, -1)
C,) (-2, 7)
D.) (-4, 2)
x: -4 y: 4
x: 7 y: -2
x: 0 y: 9
x: -1 y: 5
Which of the following ordered pairs could be included in the table and have the relation remain a function? Select all that apply.
A.) (2, 4)
B.) (0, -1)
C,) (-2, 7)
D.) (-4, 2)
Answers
GPT-4o mini
To determine which ordered pairs can be included in the table while keeping the relation a function, we need to remember that a function cannot have two different y-values for the same x-value.
Let's review the ordered pairs already in the table:
- (-4, 4)
- (7, -2)
- (0, 9)
- (-1, 5)
Now, let's analyze each option:
A) **(2, 4)** - This has an x-value of 2, which is not currently in the table. Therefore, it can be included in the function.
B) **(0, -1)** - This has an x-value of 0, which is already in the table with a corresponding y-value of 9. Since we cannot have two different y-values (9 and -1) for the same x-value (0), this cannot be included.
C) **(-2, 7)** - This has an x-value of -2, which is not currently in the table. Therefore, it can be included in the function.
D) **(-4, 2)** - This has an x-value of -4, which is already in the table with a corresponding y-value of 4. Since we cannot have two different y-values (4 and 2) for the same x-value (-4), this cannot be included.
Thus, the ordered pairs that could be included in the table while keeping the relation a function are:
- A) (2, 4)
- C) (-2, 7)
Let's review the ordered pairs already in the table:
- (-4, 4)
- (7, -2)
- (0, 9)
- (-1, 5)
Now, let's analyze each option:
A) **(2, 4)** - This has an x-value of 2, which is not currently in the table. Therefore, it can be included in the function.
B) **(0, -1)** - This has an x-value of 0, which is already in the table with a corresponding y-value of 9. Since we cannot have two different y-values (9 and -1) for the same x-value (0), this cannot be included.
C) **(-2, 7)** - This has an x-value of -2, which is not currently in the table. Therefore, it can be included in the function.
D) **(-4, 2)** - This has an x-value of -4, which is already in the table with a corresponding y-value of 4. Since we cannot have two different y-values (4 and 2) for the same x-value (-4), this cannot be included.
Thus, the ordered pairs that could be included in the table while keeping the relation a function are:
- A) (2, 4)
- C) (-2, 7)