Find the domain and the range of the relation. Then determine whether the relation is a function. \{(- 1, 6), (2, 4), (4, - 5), (6, - 2)\} OA. domain: \{- 1, 2, 4, 6\} range: (6, 4, -5, -2) not a function OB. domain: (6, a - 5 - 2 range: \{- 1, 2, 4, 6\} not a function OC. domain: \{6, 4, - 5, - 2\} range: \{- 1, 2, 4, 6\} function D. domain: \{- 1, 2, 4, 6\} range: (6, 4, -5, -2) function
The correct answer is D.
The domain of the relation is \{-1, 2, 4, 6\} and the range is \{6, 4, -5, -2\}.
We can see that each input value in the domain corresponds to exactly one output value in the range. Therefore, the relation is a function.
The correct answer is D.
The domain of a relation is the set of all input values, or the x-values of the ordered pairs. In this case, the domain is {-1, 2, 4, 6}.
The range of a relation is the set of all output values, or the y-values of the ordered pairs. In this case, the range is (6, 4, -5, -2).
To determine whether the relation is a function, we need to check if each input value (x-value) corresponds to a single output value (y-value). In this case, each x-value has a unique y-value, so the relation is a function.
To find the domain and range of a relation, you can look at the set of ordered pairs provided. The domain is the set of all the x-values in the ordered pairs, and the range is the set of all the y-values.
In this case, the given relation is {(-1, 6), (2, 4), (4, -5), (6, -2)}.
The domain is the set of x-values, which in this case is {-1, 2, 4, 6}.
The range is the set of y-values, which in this case is {6, 4, -5, -2}.
Now we need to determine whether the relation is a function. A relation is considered a function if each x-value is paired with only one y-value. In other words, no two ordered pairs in the relation can have the same x-value but different y-values.
Looking at the relation {(-1, 6), (2, 4), (4, -5), (6, -2)}, we can see that each x-value (-1, 2, 4, 6) is indeed paired with only one y-value (6, 4, -5, -2). Therefore, the relation is a function.
So the correct answer is D. domain: {-1, 2, 4, 6} range: (6, 4, -5, -2) function.