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Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,1),(5,1),(6,1)\\}$$

Short Answer

Expert verified
The given relation is a function. The domain of the function is \{4,5,6\} and the range is \{1\}.

Step by step solution

01

Determine if the Relation is a Function

From the given set, \{(4,1),(5,1),(6,1)\}, it can be seen that each input (4, 5, 6) maps to a single output (1). Therefore, this relation is indeed a function.
02

Identify the Domain

The domain of a function consists of all the 'first' numbers of the ordered pairs. Here, the domain is \{4,5,6\}.
03

Identify the Range

The range of a function contains all the 'second' numbers of the ordered pairs. For this function, the range is \{1\}.

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