The following is a relation: left-brace left-parenthesis negative 2 comma 6 right-parenthesis, left-parenthesis 1 comma 8 right-parenthesis, left-parenthesis 3 comma 4 right-parenthesis, left-parenthesis negative 3 comma 8 right-parenthesis, left-parenthesis c comma d right-parenthesis right-brace.
For which ordered pair left-parenthesis c comma d right-parenthesis is the relation a function?
(1 point)
Responses
left-parenthesis negative 3 comma 5 right-parenthesis
Image with alt text: left-parenthesis negative 3 comma 5 right-parenthesis
left-parenthesis negative 2 comma 8 right-parenthesis
Image with alt text: left-parenthesis negative 2 comma 8 right-parenthesis
left-parenthesis 1 comma negative 8 right-parenthesis
Image with alt text: left-parenthesis 1 comma negative 8 right-parenthesis
left-parenthesis 3 comma 4 right-parenthesis
The relation is a function if each input value (c) is associated with only one output value (d).
In this case, the ordered pair (3, 4) is the only one that satisfies this condition. Therefore, the relation is a function for the ordered pair (3, 4).
To determine if the relation is a function, we need to check if each input value (c) corresponds to only one output value (d).
In the given relation, we have the following ordered pairs:
(-2, 6)
(1, 8)
(3, 4)
(-3, 8)
(c, d)
To determine if the relation is a function, we need to ensure that no two different ordered pairs have the same input value (c) but different output values (d).
If we look at the ordered pairs, we can see that there are no two different pairs with the same input value and different output values.
Therefore, for any value of c, the corresponding value of d will always be unique. Therefore, the relation is a function for any ordered pair (c, d).