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If (f:A\to B), (A={1,2,3,4}), (B={a,b}), and (f={(1,a),(2,a),(3,b),(4,b)}), what type of function is (f)?यदि (f:A\to B), (A={1,2,3,4}), (B={a,b}), और (f={(1,a),(2,a),(3,b),(4,b)}), तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Onto but not one-oneआच्छादक पर एक-एकी नहीं
Step 1: Both (a) and (b) appear as images, so the function is onto. Step 2: Both (1) and (2) map to (a), so it is not one-one. Step 3: Onto and one-one should be checked separately.चरण 1: (a) और (b) दोनों छवि के रूप में मिलते हैं, इसलिए फलन आच्छादक है। चरण 2: (1) और (2) दोनों (a) पर जाते हैं, इसलिए एक-एकी नहीं है। चरण 3: आच्छादक और एक-एकी को अलग-अलग जाँचना चाहिए।
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