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For the following exercises, determine whether the relation is a function.

2. {(5, 2), (6, 1), (6, 2), (4, 8)}

User Spiff
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Answer:

The given relation {(5,2),(6,1),(6,2),(4,8)} is not a function.

Explanation:

The relation {(5,2),(6,1),(6,2),(4,8)} is given.

It is required to determine whether the given relation is a function.

To determine whether the given function is a relation, identify the domain and range and then check whether the given relation is a function.

Step 1 of 1

The given relation is {(5,2),(6,1),(6,2),(4,8)}.

The set of the first components of each ordered pair is called the domain.

From the relation, the domain is {5,6,6,4}.

The set of the second components of each ordered pair is called the range.

From the relation, the range is {2,1,2,8}.

The domain of the function does not have a unique range. So, the given relation is not a function.

User Aravind A
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