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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x), what is the correct reason for (f) being onto?Class 12Relations and FunctionsOnto functionExpert MathematicsLet (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x). Which statement about onto nature of (f) is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{x^3-x}), then (f) is onto becauseClass 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[0,\infty)\to[1,\infty)), (f(x)=x^3+1), why is it onto?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct statement for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3+1).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x), what is the correct reason for being onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=3x^3-2), which option is correct for (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2+3x), what is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-9x), not one-one on all (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x^2+x+1), what is the status of one-one nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-12x), not one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsUnder which condition will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+ax), certainly be one-one?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which option is correct about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct statement for the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x+5).Class 12Relations and FunctionsOne-one functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=-x^3).Class 12Relations and FunctionsOne-one functionMedium MathematicsChoose the correct option about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which is a correct proof that it is not one-one?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x), what is the correct conclusion about (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-3x), it is not one-one. Which example proves this correctly?Class 12Relations and FunctionsFunctionsHard