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determine whether the following relation represents a function. give th…

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.)

Explanation:

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 \(\{-3, 5, 9\}\).

Answer:

\(\{-3, 5, 9\}\)