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What is the correct statement for (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^2)?फलन (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^2) के लिए सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not one-oneयह एकैकी नहीं है
Step 1: Both (1) and (-1) are present in integers. Step 2: (f(1)=1) and (f(-1)=1), but (1\ne -1). Step 3: The square function is symmetric, so it is generally not one-one on a large symmetric domain.चरण 1: पूर्णांकों में (1) और (-1) दोनों मौजूद हैं। चरण 2: (f(1)=1) और (f(-1)=1), लेकिन (1\ne -1)। चरण 3: वर्ग फलन सममित होता है, इसलिए बड़े प्रांत पर सामान्यतः एकैकी नहीं होता।
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