The domain and range of the relation, also determine whether the relation is function or not.
Answer to Problem 1RE
The domain is
The given relation is a function.
Explanation of Solution
Definition used:
“The set of all inputs for a relation is called domain and set of all outputs of a relation is called range”.
“Let X and Y be two nonempty sets. A function from X into Y is a relation that associates with each element of X exactly one element of Y”.
Description:
From the given relation it can be observed that, the input values of the relation is
Also the output values of the relation is
By referring the above definition it can be verified that the given relation is a function, because each element in the domain represents a unique element in range.
Therefore, the domain is
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Chapter 1 Solutions
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