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Which line of symmetry does the graph of \(f(x)=x^4-2x^2\) have?\(f(x)=x^4-2x^2\) के ग्राफ की सममिति (line of symmetry) किस रेखा के बारे में है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: y-axisy-अक्ष
Check whether \(f(-x)=f(x)\). \(f(x)=x^4-2x^2\). Then \(f(-x)=(-x)^4-2(-x)^2=x^4-2x^2=f(x)\). Since \(f(-x)=f(x)\), the graph is even and is symmetric about the y-axis.यह जाँचिए कि \(f(-x)=f(x)\) होता है या नहीं। \(f(x)=x^4-2x^2\)। तब \(f(-x)=(-x)^4-2(-x)^2=x^4-2x^2=f(x)\)। चूँकि \(f(-x)=f(x)\), इसलिए फलन even है और ग्राफ y-अक्ष के बारे में सममित है।
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