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For (f:[-1,1]\to[-1,1]), (f(x)=x^2), which statement is correct?फलन (f:[-1,1]\to[-1,1]), (f(x)=x^2) के लिए कौन सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not ontoयह आच्छादी नहीं है
Step 1: On ([-1,1]), values of (x^2) lie in ([0,1]). Step 2: The codomain ([-1,1]) also contains negative values such as (-\frac{1}{2}), which are not obtained. Step 3: Having a similar-looking domain does not guarantee onto.चरण 1: ([-1,1]) पर (x^2) के मान ([0,1]) में रहते हैं। चरण 2: सहप्रांत ([-1,1]) में ऋणात्मक मान भी हैं, जैसे (-\frac{1}{2}), जो नहीं मिलते। चरण 3: समान प्रांत रखने से आच्छादी होना तय नहीं होता।
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