Question

Identify the domain and range of the relation {(-1, 1), (0, 2), (3,-2). (5. 2)}.

Answer 1

The domain of the given relation is {-1, 0, 3, 5}, and the range is {1, 2, -2}, representing the x-values and y-values from the ordered pairs, respectively.

Step-by-step explanation:

To identify the domain and range of the relation {(-1, 1), (0, 2), (3, -2), (5, 2)}, we first need to understand what the domain and range represent in a relation. The domain is the set of all possible input values (x-coordinates), and the range is the set of all possible output values (y-coordinates).

In this case, the domain of the given relation is the set of first elements from each ordered pair. Looking at our relation, we have the following x-values: -1, 0, 3, and 5. So, the domain is {-1, 0, 3, 5}.

Next, to find the range, we look at the second elements from each ordered pair. These are the y-values: 1, 2, -2, and 2. Note that '2' appears twice, but in the context of sets, we list it only once. Therefore, the range is {1, 2, -2}.

Answer 2

Domain: {-1, 0, 3, 5}

Range: {1, 2, -2}

Step-by-step explanation:

{(-1, 1), (0, 2), (3,-2). (5. 2)}

The domain of a relation refers to the set of all input values, or x-values, in the relation, while the range refers to the set of all output values, or y-values, in the relation.

Domain: {-1, 0, 3, 5}

Range: {1, 2, -2}