0 reads0 ratings0 helpful
If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor+x), which statement about onto property is correct?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor+x), तो सर्वाच्छादकता के बारे में कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not onto because some values in ((1,2)) are missedयह सर्वाच्छादक नहीं क्योंकि ((1,2)) के कुछ मान छूटते हैं
Step 1: If (x\in[n,n+1)), then (\lfloor x\rfloor=n) and (f(x)\in[2n,2n+1)). Step 2: Hence values in intervals such as ((1,2)) are missed. Step 3: For floor functions, split the domain into unit intervals.चरण 1: यदि (x\in[n,n+1)), तो (\lfloor x\rfloor=n) और (f(x)\in[2n,2n+1))। चरण 2: इसलिए ((1,2)) जैसे अंतराल के मान छूट जाते हैं। चरण 3: महत्तम पूर्णांक वाले फलनों में प्रांत को छोटे अंतरालों में बाँटें।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
