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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।

MathematicsIf (A) has (5) elements and (B) has (2) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to [0,1]), (f(x)=\frac{1}{1+e^{-x}}).Class 12Relations and FunctionsOnto functionHard MathematicsIf \(f:\mathbb{R}\to (0,1)\), \(f(x)=\frac{1}{1+e^{-x}}\), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionHard MathematicsWhich statement is correct for (f:(0,\infty)\to (0,\infty)), (f(x)=\ln x)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:(0,\infty)\to \mathbb{R}), (f(x)=\ln x), what type is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to [1,\infty)), (f(x)=e^{x^2})?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=e^{x^2}), what is the correct statement?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to (0,\infty)), (f(x)=e^{x^3-x}).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3+a x), which condition surely makes (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=a x^2+1)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=a x+b), when will (f) be onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf \(f:\mathbb{R}\to \left[\frac{1}{2},1\right)\), \(f(x)=\frac{x^2+1}{x^2+2}\), what is the correct conclusion about \(f\)?Class 12Relations and FunctionsOnto functionHard MathematicsWhich of the following functions is onto its given codomain?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{-2}\to \mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x+2}), what type is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct statement about (f:\mathbb{R}\setminus{-2}\to \mathbb{R}), (f(x)=\frac{x+1}{x+2}).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{1}\to \mathbb{R}\setminus{2}), (f(x)=\frac{2x+3}{x-1}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:(0,\infty)\to [2,\infty)), (f(x)=x+\frac{1}{x}), what type is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsWhich statement is correct about (f:(0,\infty)\to \mathbb{R}), (f(x)=x+\frac{1}{x})?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:(0,\infty)\to \mathbb{R}), (f(x)=x-\frac{1}{x}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x-\cos x).Class 12Relations and FunctionsOnto functionHard