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

For each relation, we have that:

• The first relation has domain {-2, 1, 2}, range {-2, 1, 2} and is a function.

• The second relation has domain {2}, range [-2,1) and is not a function.

What are the domain and range of a function?

• The domain of a function is the set that contains all possible input values.

• The range of a function is the set that contains all possible output values.

The first relation is given by these following points:

{{-2,-2}, {1,1}, {2,2}}.

Hence:

• The domain is: {-2, 1, 2}.

• The range is: {-2, 1, 2}.

• It is a function, as each value of x is related to only one value of y.

The second relation is a vertical line, hence:

• The domain is: {2}.

• The range is: [-2,1)

• It is not a function, as the input value of x = 2 is related to multiple values of y.

More can be learned about domain and range of relations at https://brainly.com/question/10891721

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