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If (R={(x,y)\in\mathbb{R}\times\mathbb{R}:x=y^3}) is considered as a relation from (\mathbb{R}) to (\mathbb{R}), is it a function?(R={(x,y)\in\mathbb{R}\times\mathbb{R}:x=y^3}) को (\mathbb{R}) से (\mathbb{R}) में संबंध माना जाए, तो यह फलन है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Yes, because for every (x), (y=\sqrt[3]{x}) is uniqueहाँ, क्योंकि हर (x) के लिए (y=\sqrt[3]{x}) अद्वितीय है
Every real (x) has a unique real cube root. Hence this relation is a function from (\mathbb{R}) to (\mathbb{R}).हर वास्तविक (x) का वास्तविक घनमूल अद्वितीय होता है। इसलिए यह संबंध (\mathbb{R}) से (\mathbb{R}) में फलन है।
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