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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4+1), why is (f) not onto?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=x^4+1), तो (f) आच्छादी क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (f(x)\geq 1)क्योंकि (f(x)\geq 1) होता है
Step 1: For every real (x), (x^4\geq 0). Step 2: Therefore (f(x)=x^4+1\geq 1), so a real number like (0) is not attained. Step 3: To test onto, look for values in the codomain that are missed.चरण 1: हर वास्तविक (x) के लिए (x^4\geq 0) होता है। चरण 2: इसलिए (f(x)=x^4+1\geq 1), और (0) जैसा वास्तविक मान छवि नहीं बनता। चरण 3: आच्छादी जाँचते समय सहप्रांत के छूटे हुए मान खोजें।
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