To determine which ordered pair could be removed to make this relation a function, we need to remember that for a relation to be a function, each input value must map to exactly one output value. This means that no input value should have more than one output value.
Given the ordered pairs:
- (–5, 0)
- (2, –3)
- (–1, –3)
- (4, –2)
- (4, 2)
- (6, –1)
We can see that the input value "4" is mapped to both "–2" and "2".
To make this relation a function, we need to ensure that each input is associated with only one output. Therefore, we need to remove one of the pairs that has "4" as the input.
So the ordered pair that could be removed to make the relation a function is either:
- (4, –2)
or
- (4, 2)
However, since the problem asks for a single ordered pair to be removed, we can choose one of them. Therefore, one correct answer is:
(4, –2) or (4, 2)
Since the question format provides specific options but the condition is to choose any one that solves the issue, assuming the question follows standard selection protocol and given the options: (4, –2) and (4, 2), either would solve the issue of making it a function by avoiding the duplication of output values for the same input.
Thus, you can choose:
(4, –2)
The mapping shows a relationship between input and output values.
A mapping diagram shows a relation, using arrows, between input and output for the following ordered pairs: (negative 5, 0), (2, negative 3), (negative 1, negative 3), (4, negative 2), (4, 2), (6, negative 1).
Which ordered pair could be removed to make this relation a function?
(–5, 0)
(–1, –3)
(4, –2)
(6, –1)
1 answer
2 answers