In Exercises 1-6, determine whether each relation is a function. Give the domain and range for each relation.
{(2, 6), (1, 4), (2, -6)}
To determine whether the relation
Answer
Solution: No. The domain is
Explanation of Solution
Given: The relation
The relation is said to be a function if every element in the domain corresponds to exactly one element in the range.
The element
Furthermore, the element
Here, two ordered pairs in the given relation have the same first component correspond to different elements.
Hence, the given relation is not a function.
Further, the domain is the set of all first components. Thus, the domain is
The range is the set of all second components. Thus, the range is
Conclusion: The given relation is not a function. The domain is
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Chapter 2 Solutions
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