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Why is (f:R\to R), (f(x)=|x|), not onto?फलन (f:R\to R), (f(x)=|x|) आच्छादक क्यों नहीं है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because no (x) gives (f(x)=-2)क्योंकि कोई (x) ऐसा नहीं है जिससे (f(x)=-2) मिले
Step 1: To be onto, every element of (R) must be an image. Step 2: (-2\in R), but (|x|) is never negative. Step 3: Hence the range is not (R), and the function is not onto.चरण 1: आच्छादक होने के लिए (R) का हर अवयव छवि होना चाहिए। चरण 2: (-2\in R), पर (|x|) कभी ऋणात्मक नहीं होता। चरण 3: इसलिए परास (R) नहीं है और फलन आच्छादक नहीं है।
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