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State the domain and the range of each relation. Then determine whether the relation is a function.

(4,23)
(3,-2)
(-6,5)
(4,6)

User Gebezs
by
8.9k points

2 Answers

3 votes

Answer:

See below.

Explanation:

The Domain = {-6, 3, 4}.

The Range = {-2, 5, 6, 23}.

The relation is NOT a function because 4 in the domain maps to 6 and 23. In a function an element in the domain must map to one element only in the range.

User Mahesh Guruswamy
by
8.7k points
3 votes

Answer:


Domain:{
-6,3,4}


Range:{
-2,5,6,23}

The relation is not a function.

Explanation:

By definition, a relation is a function if each input value has only one output value.

Given the relation:

(4,23)

(3,-2)

(-6,5)

(4,6)

The domain is the set of the x-coordinates of each ordered pair (You do not need to write 4 twice):


Domain:{
-6,3,4}

The range is the set of the y-coordinates of each ordered pair :


Range:{
-2,5,6,23}

Since the input value 4 has two different output values (23 and 6), the relation is not a function.

User Davis Dimitriov
by
8.0k points

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