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Question
determine whether the following relation represents a function. give the domain and range for the relation. {(7,9), (2,5), (-3, -3), (5,5)} does the given relation represent a function? yes no what is the domain? {-3,2,5,7} (use a comma to separate answers as needed.) what is the range? (use a comma to separate answers as needed.)
Step1: Recall range definition
The range of a relation is the set of all second elements (y - values) of the ordered pairs.
Step2: Identify second elements
From the ordered pairs \((7,9)\), \((2,5)\), \((-3,-3)\), \((5,5)\), the second elements are \(9\), \(5\), \(-3\), \(5\).
Step3: Form the range set
Remove duplicates. So the range is \(\{-3, 5, 9\}\).
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\(\{-3, 5, 9\}\)