0 reads0 ratings0 helpful
If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), is (f) one-one?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), तो (f) एकैकी है या नहीं?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Not one-oneएकैकी नहीं है
Step 1: (\lfloor x\rfloor) sends many values in an interval to the same integer. Step 2: (\lfloor 1.2\rfloor=1) and (\lfloor 1.8\rfloor=1), while (1.2\ne 1.8). Step 3: Such step functions are not one-one on the whole real domain.चरण 1: (\lfloor x\rfloor) एक अंतराल के कई मानों को एक ही पूर्णांक देता है। चरण 2: (\lfloor 1.2\rfloor=1) और (\lfloor 1.8\rfloor=1), जबकि (1.2\ne 1.8)। चरण 3: ऐसे चरणदार फलन पूरे वास्तविक क्षेत्र पर एकैकी नहीं होते।
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.
