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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
The given relation is a function. The domain is \{4,6,8\}, and the range is \{5,7,8\}

Step by step solution

01

Verify if the Relation is a Function

A relation is defined as a function if every element in the domain corresponds to exactly one element in the range. Looking at the given data, \((4,5),(6,7),(8,8)\), each x-value (4,6,8) has exactly one corresponding y-value (5,7,8). Thus, the relation is a function.
02

Determine the Domain

The domain of a function is the set of all possible x-values. In the given relation, the x-values are \(4, 6, 8\). Therefore, the domain is \{4,6,8\}.
03

Determine the Range

The range of a function is the set of all possible y-values. Here, the y-values are \(5, 7, 8\). Consequently, the range is \{5,7,8\}.

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