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Chapter 2: Problem 1

Determine whether each relation is a function. Give the domain and range for each relation. $$ \\{(1,2),(3,4),(5,5)\\} $$

Short Answer

Expert verified
Yes, the given relation is a function. The domain of the function is the set \(\{1,3,5\}\), and the range of the function is the set \(\{2,4,5\}\).

Step by step solution

01

Checking If The Relation Is a Function

Given the relation \(\{(1,2),(3,4),(5,5)\}\), each first element of the ordered pairs are unique. Therefore, the relation is a function.
02

Identifying The Domain

The domain of a function is the set of all possible input values. In this case, it consists of the first elements from each ordered pair. For the function \(\{(1,2),(3,4),(5,5)\}\), the domain is the set \(\{1,3,5\}\).
03

Identifying The Range

The range of a function is the set of all possible output values. It comprises the second elements from each ordered pair. For the function \(\{(1,2),(3,4),(5,5)\}\), the range is the set \(\{2,4,5\}\).

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