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For the function \(f(x)=\operatorname{sgn}(x)\), what is the value of the function at \(x=-8\) on its graph?फलन \(f(x)=\operatorname{sgn}(x)\) के ग्राफ पर \(x=-8\) के संगत फलन का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -1-1
For the signum function, \(\operatorname{sgn}(x)=-1\) when \(x<0\), \(0\) when \(x=0\), and \(1\) when \(x>0\). Since \(-8<0\), we get \(f(-8)=-1\). The value 0 would apply only at \(x=0\). Exam tip: For a signum function, check the sign of the input rather than its magnitude.साइनम फलन के लिए \(\operatorname{sgn}(x)=-1\) जब \(x<0\), \(0\) जब \(x=0\), और \(1\) जब \(x>0\) होता है। चूँकि \(-8<0\), इसलिए \(f(-8)=-1\)। विकल्प 0 केवल \(x=0\) पर सही होता है। परीक्षा-युक्ति: साइनम फलन का मान निकालते समय पहले \(x\) का चिह्न देखें, उसका परिमाण नहीं।
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