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If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3+n), choose the correct statement about (f).यदि (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3+n), तो (f) के बारे में सही कथन चुनिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी है
Step 1: If (m>n), then (m^3>n^3) and (m>n). Step 2: Therefore, (m^3+m>n^3+n), so the function is increasing. Step 3: An increasing function on integers is one-one.चरण 1: यदि (m>n), तो (m^3>n^3) और (m>n)। चरण 2: इसलिए (m^3+m>n^3+n), यानी फलन बढ़ता है। चरण 3: पूर्णांकों पर बढ़ता फलन एकैकी होता है।
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