Problem 1
Question
Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(1,2),(3,4),(5,5)\\}$$
Step-by-Step Solution
Verified Answer
The relation is a function. The domain is \(\{1, 3, 5\}\) and the range is \(\{2, 4, 5\}\).
1Step 1: Identify the relation
The relation given is \(\{(1,2),(3,4),(5,5)\}\). Each ordered pair represents (domain, range)
2Step 2: Determine Function or Not
In this relation, each element of the domain is related to exactly one element of the range. This means the relation is a function, as there's no x-value (domain value) that corresponds to more than one y-value (range value).
3Step 3: Identify the Domain
The domain of a function (or a relation) includes all the possible x-values. In this case, the domain is \(\{1, 3, 5\}\).
4Step 4: Identify the Range
The range of a function (or a relation) includes all the possible y-values. In this case, the range is \(\{2, 4, 5\}\).
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