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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(-1,1)), (f(x)=\frac{x}{1+|x|}), which statement is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsChoose the correct statement about (f:\mathbb{R}\to(0,\infty)), (f(x)=e^x).Class 12Relations and FunctionsOnto functionExpert MathematicsFor the function (f:[-1,\infty)\to[0,\infty)), (f(x)=x^2+2x+1), which conclusion is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^2+2x+1), which statement about (f) being onto is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[-2,2]), (f(x)=2\cos x), is (f) onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsWhy is (f:\mathbb{R}\to[0,2]), (f(x)=1+\sin x), onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=\sqrt{x^2+1}), is (f) onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=(e^x+1)^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIs (f:\mathbb{R}\to[0,\infty)), (f(x)=(e^x-1)^2), onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax^2+1), which statement is true?Class 12Relations and FunctionsOnto functionExpert MathematicsIf \(f:\mathbb{R}\to(-1,1)\), \(f(x)=\frac{2}{\pi}\tan^{-1}x\), is (f) onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsFor (f:(0,\infty)\to[2,\infty)), (f(x)=x+\frac{1}{x}), what is the correct statement?Class 12Relations and FunctionsOnto functionExpert MathematicsFor (f:\mathbb{R}\to[0,\infty)), (f(x)=e^x+e^{-x}-2), what is the correct statement?Class 12Relations and FunctionsOnto functionExpert MathematicsWhy is the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^4+x^2), not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIs (f:\mathbb{R}\to[1,\infty)), where (f(x)=x^2+|x|+1), onto?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:\mathbb{R}\to[4,\infty)), where (f(x)=(x+3)^2+4), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=(x-1)^2), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=2^x), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=\frac{x}{1+|x|}), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsFor the function (f(x)=\tan x) on its defined domain, which codomain makes it onto?Class 12Relations and FunctionsOnto functionHard