Find the domain and range of the relation, and state whether or not the relation is a function (1,3)(2,3)(3,3)(4,3)
Domain {1,2,3,4}
Range {3}
Yes
To find the domain and range of a relation, we need to identify all the unique x-values (domain) and y-values (range) in the given relation.
Domain: The domain of a relation refers to all the unique x-values in the relation. In this case, the x-values are 1, 2, 3, and 4. So, the domain of the relation is {1, 2, 3, 4}.
Range: The range of a relation refers to all the unique y-values in the relation. In this case, the y-value is always 3 for all the given x-values. So, the range of the relation is {3}.
Function: To determine if the relation is a function or not, we need to check whether each x-value is associated with a unique y-value. If each x-value has only one corresponding y-value, then the relation is a function. In this case, all the given x-values (1, 2, 3, and 4) are mapped to the same y-value (3). Hence, the relation is a function.
In summary:
- Domain: {1, 2, 3, 4}
- Range: {3}
- The relation is a function.