State the domain and range of the following relation: \ (6,1),(4,-3),(3,2),(-1,-3)\
You have a set of (x,y) pairs
domain: all the x-values
range: all the y-values
Better review relations and functions some more.
To determine the domain and range of a relation, we need to look at the set of input values (x-values) and output values (y-values) of the relation.
The given relation consists of these ordered pairs: (6,1), (4,-3), (3,2), and (-1,-3).
The domain of a relation is the set of all possible input values, or the collection of x-values. In this case, the x-values of the ordered pairs are 6, 4, 3, and -1. Therefore, the domain of this relation is {6, 4, 3, -1}.
The range of a relation is the set of all possible output values, or the collection of y-values. In this case, the y-values of the ordered pairs are 1, -3, 2, and -3. Therefore, the range of this relation is {1, -3, 2}.
In summary:
Domain = {6, 4, 3, -1}
Range = {1, -3, 2}