Which of the following relationships are functions?(1 point)
A) (-1, 3), (-4, 3), (-2, 3), (0, 3)
B) (8, 2), (6, 5), (7, -1), (6, 5)
C) (2, 4), (2, 7), (2, -1), (2, 0)
D) (8, 2), (6, -5), (7, -1), (6, 5)
A) (-1, 3), (-4, 3), (-2, 3), (0, 3)
C) (2, 4), (2, 7), (2, -1), (2, 0)
To determine whether each relationship is a function, we need to check if each input value (x-coordinate) has a unique output value (y-coordinate).
A) (-1, 3), (-4, 3), (-2, 3), (0, 3):
In this relationship, all input values have the same output value of 3. This means that each input value has a unique output value. Therefore, this relationship is a function.
B) (8, 2), (6, 5), (7, -1), (6, 5):
Here, the input value 6 corresponds to two different output values (5 and 5). This means that there is an input value with multiple output values, so this relationship is not a function.
C) (2, 4), (2, 7), (2, -1), (2, 0):
In this relationship, all input values have the same output value of 2. Similar to example B, this means that there is an input value with multiple output values. Thus, this relationship is not a function.
D) (8, 2), (6, -5), (7, -1), (6, 5):
In this case, the input value 6 is associated with two different output values (-5 and 5). As a result, there is an input value with multiple output values, making this relationship not a function.
Therefore, the relationships that are functions are:
A) (-1, 3), (-4, 3), (-2, 3), (0, 3)
To determine which of the following relationships are functions, we need to check if each x-value is paired with exactly one y-value.
A) (-1, 3), (-4, 3), (-2, 3), (0, 3)
In this relationship, each x-value (-1, -4, -2, 0) is paired with y-value 3. This relationship is a function because each x-value has a unique y-value.
B) (8, 2), (6, 5), (7, -1), (6, 5)
In this relationship, we can see that the x-value 6 is paired with two different y-values: 5 and -5. Therefore, this relationship is not a function since one x-value has multiple y-values.
C) (2, 4), (2, 7), (2, -1), (2, 0)
In this relationship, the x-value 2 is repeated for all the pairs. Although the y-values are different, the x-value is not unique, so this relationship is not a function.
D) (8, 2), (6, -5), (7, -1), (6, 5)
Similar to option B, in this relationship, the x-value 6 is paired with two different y-values: -5 and 5. Therefore, this relationship is also not a function.
So, the only relationship that is a function is option A: (-1, 3), (-4, 3), (-2, 3), (0, 3).