In the following relation, state the domain and range.
1 ------> 8
3 ------> 1
4 ------> 3
5 ------> 3
The domain of the relation is {1, 3, 4, 5} because those are the values that appear in the left column.
The range of the relation is {1, 3, 8} because those are the values that appear in the right column.
isit a function
Yes, this relation is a function because each element in the domain (left column) corresponds to exactly one element in the range (right column). There are no repeated values in the left column, and each value in the left column corresponds to a unique value in the right column.
To determine the domain and range of the given relation, we need to identify the set of possible input values (domain) and the set of possible output values (range).
Looking at the relation provided:
1 ------> 8
3 ------> 1
4 ------> 3
5 ------> 3
Domain: The domain refers to the set of all possible input values. In this case, the input values are 1, 3, 4, and 5. So, the domain would be {1, 3, 4, 5}.
Range: The range refers to the set of all possible output values. In this case, the output values are 8, 1, 3, and 3 (corresponding to each input value). So, the range would be {8, 1, 3}.
Therefore, the domain is {1, 3, 4, 5} and the range is {8, 1, 3}.
To determine the domain and range of a relation, we need to examine the set of input and output values.
Domain: The domain of a relation refers to the set of input values or x-values. To find the domain, we need to list all the unique input values from the given relation.
In this case, the unique input values or x-values are 1, 3, 4, and 5. Therefore, the domain of the relation is {1, 3, 4, 5}.
Range: The range of a relation refers to the set of output values or y-values. To find the range, we need to list all the unique output values from the given relation.
In this case, the unique output values or y-values are 8, 1, and 3. Therefore, the range of the relation is {8, 1, 3}.
So, the domain of the relation is {1, 3, 4, 5} and the range of the relation is {8, 1, 3}.