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Question
select whether the relation is a function or not. {(-3, 1), (-1, 3), (1, -2), (3, 3)} not a function function
Step1: Recall the definition of a function
A relation is a function if each input (x - value) has exactly one output (y - value). In other words, no two ordered pairs in the relation can have the same first element (x - coordinate) with different second elements (y - coordinates).
Step2: Check the x - values in the given relation
The given relation is \(\{(-3,1),(-1,3),(1, - 2),(3,3)\}\). The x - values (first elements of the ordered pairs) are \(-3\), \(-1\), \(1\), and \(3\). Each of these x - values appears only once, and for each x - value, there is exactly one corresponding y - value.
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