Question

Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and the range of the relation and determine whether the relation is a function.

Answer 1

Using it's concepts, we have that:

• The domain of the relation is of -2 ≤ x ≤ -1.

• The range of the relation is of -2 ≤ y ≤ 2.

• Since each value of the input is mapped to only one value of y, it is a function.

What are the domain and the range of a relation?

• The domain of a relation is the set that contains all possible input values for the relation. In a graph, it is given by the values of x.

• The range of a relation is the set that contains all possible output values for the relation. In a graph, it is given by the values of y.

Hence:

• The domain of the relation is of -2 ≤ x ≤ -1.

• The range of the relation is of -2 ≤ y ≤ 2.

When does a relation represents a function?

A relation represents a function when each value of the input is mapped to only one value of the output.

From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.

More can be learned about relations and functions at brainly.com/question/12463448

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