To calculate:The domain and range of the given relation and identify if the given relation is a function.
Answer to Problem 1OE
The
Explanation of Solution
Given information:The relation is
For relation
The domain of a relation ( R ) is set of all first components of the ordered pair belonging to R . Hence the domain is
The range of a relation ( R ) is set of all second components of the ordered pair belonging to R . Hence the range is
For a relation to be a function
i) All elements of the set A must be associated to elements in set B.
ii) Allelements of the set A must be associated to a unique element in set B.
Since all the elements of the domain are related to a single element in the range of the relation, the given relation is a function.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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