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Onto Function

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 MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), is (f) onto?Class 12Relations and FunctionsOnto functionExpert MathematicsWhy is (f:[0,1]\to[0,2]), (f(x)=x^2), not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[0,1]\to[0,1]), (f(x)=x^2), what is the correct conclusion for (f)?Class 12Relations and FunctionsOnto functionExpert MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4-x^2), (f) is not onto because which value cannot be obtained?Class 12Relations and FunctionsOnto functionExpert MathematicsWhich statement is correct for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x^2+x+1)?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 MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=|x-2|), choose the correct statement.Class 12Relations and FunctionsOnto functionExpert MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-2|)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionExpert MathematicsWhy is (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt{x}), not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=\sqrt{x}), is (f) onto?Class 12Relations and FunctionsOnto functionExpert MathematicsWhy is (f:\mathbb{R}\to[0,1]), (f(x)=\frac{1}{1+e^{-x}}), not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to(0,1)), (f(x)=\frac{1}{1+e^{-x}}), choose the correct statement for (f).Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\tan x), what is correct before deciding onto nature?Class 12Relations and FunctionsOnto functionExpert MathematicsWhich statement is correct for \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\), \(f(x)=\tan x\)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:(-\frac{\pi}{2},\frac{\pi}{2})\to[-1,1]), (f(x)=\sin x), what is the correct conclusion?Class 12Relations and FunctionsOnto functionExpert