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Continuity

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

MathematicsChoose the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\cos x).Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\sin x), what is a valid reason for (f) being onto?Class 12Relations and FunctionsOnto functionExpert 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 MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+e^x)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^3}{1+x^2}), is (f) onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsIs (f:\mathbb{R}\to[1,\infty)), (f(x)=x^6+x^2+1), onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsFor (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5+x), what is the correct analysis for onto property?Class 12Relations and FunctionsOnto functionExpert MathematicsThe function (f:(0,\infty)\to\mathbb{R}), (f(x)=x-\frac{1}{x}), is onto becauseClass 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\sin x), what is the most suitable reason for onto property?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x+1), choose the correct statement about onto property.Class 12Relations and FunctionsOnto functionExpert MathematicsIs the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3-3x), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), then (f) is onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), what is the correct conclusion about onto property?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x+1), what is a valid reason that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), what is correct about onto nature?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=x^4+x^2), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-5x), what is a simple reason that (f) is onto?Class 12Relations and FunctionsOnto functionEasy