State the domain and range of the following relation.
X: 2,6,-2,0,4
Y: 7,8,5,6,8
The domain of the relation is the set of x-values, which in this case is {2, 6, -2, 0, 4}.
The range of the relation is the set of y-values, which in this case is {7, 8, 5, 6, 8}.
is it a function or not?
In order for the relation to be a function, each x-value must have only one corresponding y-value.
Looking at the given sets X and Y:
X: 2, 6, -2, 0, 4
Y: 7, 8, 5, 6, 8
We can see that each x-value has a unique y-value. Therefore, the relation is a function.
The domain of a relation refers to the set of all possible input values or values of the independent variable. In this case, the domain is given by the set of numbers from the X values: {2, 6, -2, 0, 4}.
The range of a relation is the set of all possible output values or values of the dependent variable. Here, the range is given by the set of numbers from the Y values: {7, 8, 5, 6, 8}.
So, the domain of the relation is {2, 6, -2, 0, 4} and the range is {7, 8, 5, 6, 8}.
To determine the domain and range of a relation, we need to identify all the unique values in the X and Y sets.
Domain: The domain of a relation refers to all the unique values in the X set. It represents the set of possible input values for the relation.
In this case, the unique values in the X set are 2, 6, -2, 0, and 4. Therefore, the domain of the relation is {2, 6, -2, 0, 4}.
Range: The range of a relation refers to all the unique values in the Y set. It represents the set of possible output values for the relation.
In this case, the unique values in the Y set are 7, 8, 5, and 6. Hence, the range of the relation is {7, 8, 5, 6}.
To summarize:
Domain: {2, 6, -2, 0, 4}
Range: {7, 8, 5, 6}