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If (A={1,2,3,4}), (B={5,6,7,8,9}), and (f={(1,5),(2,8),(3,6),(4,9)}), what type of function is (f)?यदि (A={1,2,3,4}), (B={5,6,7,8,9}) और (f={(1,5),(2,8),(3,6),(4,9)}) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: Every element of (A) has exactly one image. Step 2: The images (5,8,6,9) are all distinct. Step 3: For finite sets, if no image is repeated, the function is one-one.चरण 1: (A) के हर तत्व का ठीक एक प्रतिबिंब दिया गया है। चरण 2: प्रतिबिंब (5,8,6,9) सभी अलग-अलग हैं। चरण 3: सीमित समुच्चय में यदि कोई प्रतिबिंब दोहराया नहीं गया है तो फलन एकैकी होता है।
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