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If (f:A\to B), (A={1,2,3,4}), (B={p,q,r,s,t}), and (f={(1,p),(2,q),(3,r),(4,s)}), what type of function is (f)?यदि (f:A\to B), (A={1,2,3,4}), (B={p,q,r,s,t}), और (f={(1,p),(2,q),(3,r),(4,s)}), तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-one but not ontoएक-एकी पर आच्छादक नहीं
Step 1: The images of (1,2,3,4) are distinct, so the function is one-one. Step 2: (t) is in the codomain but is not an image. Step 3: Therefore the function is not onto.चरण 1: (1,2,3,4) की छवियाँ अलग-अलग हैं, इसलिए फलन एक-एकी है। चरण 2: (t) सहप्रान्त में है पर किसी की छवि नहीं है। चरण 3: इसलिए फलन आच्छादक नहीं है।
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