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Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,5),(6,7),(8,8)\\}$$

Short Answer

Expert verified
Yes, this relation is a function. The domain is {4, 6, 8} and the range is {5, 7, 8}.

Step by step solution

01

Determine if the relation is a function

Look at the given set of ordered pairs \{(4,5),(6,7),(8,8)\}. Each 'x' value (4, 6, 8) maps to a unique 'y' value. There are no 'x' values that map to more than one 'y' value. Therefore, this relation is a function.
02

Identify the domain

The domain is the set of all 'x' values. In this case, the domain is {4, 6, 8}.
03

Identify the range

The range is the set of all 'y' values. In this case, the range is {5, 7, 8}.

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