Pergunta
1. Find the domain of the relation. (-3,2),(0,-1),(2,3),(4,2),(6,0) a. -1,0,2,3 b. -3,0,2,4,6 c. -1,0,3 d. -3,-1,0,2,3,4,6
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PedroElite · Tutor por 8 anos
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The domain of a relation is the set of all first elements (x-coordinates) from each ordered pair in the relation.<br /><br />Given the relation: \(\{ (-3,2),(0,-1),(2,3),(4,2),(6,0)\}\)<br /><br />We extract the first elements from each ordered pair:<br />- From \((-3, 2)\), the first element is \(-3\).<br />- From \((0, -1)\), the first element is \(0\).<br />- From \((2, 3)\), the first element is \(2\).<br />- From \((4, 2)\), the first element is \(4\).<br />- From \((6, 0)\), the first element is \(6\).<br /><br />Therefore, the domain of the relation is \(\{-3, 0, 2, 4, 6\}\).<br /><br />Comparing this with the given options:<br />a. \(\{ -1,0,2,3\} \)<br />b. \(\{ -3,0,2,4,6\} \)<br />c. \(\{ -1,0,3\} \)<br />d. \(\{ -3,-1,0,2,3,4,6\} \)<br /><br />The correct answer is:<br />b. \(\{ -3,0,2,4,6\} \)
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