QuestionFind the domain and range of the relation \{(-6,6),(-5,3),(-4,0),(-3,3)\}. Is it a function? A, B, or C?
Studdy Solution
STEP 1
Assumptions1. The relation is given by the set of ordered pairs . The domain of a relation is the set of all first elements (x-coordinates) of the ordered pairs.
3. The range of a relation is the set of all second elements (y-coordinates) of the ordered pairs.
4. A relation is a function if and only if each element in the domain corresponds to exactly one element in the range.
STEP 2
First, we need to find the domain of the relation. The domain is the set of all first elements (x-coordinates) of the ordered pairs.
STEP 3
Next, we need to find the range of the relation. The range is the set of all second elements (y-coordinates) of the ordered pairs.
STEP 4
Now, we need to determine whether the relation represents a function. A relation is a function if and only if each element in the domain corresponds to exactly one element in the range.
Looking at the ordered pairs, we can see that each x-coordinate (first element) corresponds to exactly one y-coordinate (second element). Therefore, the relation is a function.
The domain of the relation is {-6, -, -4, -3}.
The range of the relation is {6,3,0}.
The relation is a function because there are no ordered pairs with the same first element and different second elements. Therefore, the correct answer is C.
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