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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।

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 MathematicsIs (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3+1), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)) and (f(x)=2^x), what preimage of (y>0) proves that (f) is onto?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 MathematicsIf (f:\mathbb{R}\to(-1,1)) and (f(x)=\frac{x}{1+|x|}), is (f) onto or not?Class 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 MathematicsIf \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\) and \(f(x)=\tan x\), why is (f) onto?Class 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 MathematicsIf (f:\mathbb{R}\to[-2,\infty)) and (f(x)=x^2-2), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=-x^2), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(-\infty,0]) and (f(x)=-x^2), why is (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:\mathbb{R}\to[2,\infty)), where (f(x)=|x|+2), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=|x-2|), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsIs the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3-3x), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,2]\to[0,5]) and (f(x)=x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIs (f:[0,2]\to[0,4]), where (f(x)=x^2), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) and (f(x)=\lfloor x\rfloor), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=\lfloor x\rfloor), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[0,1]) and (f(x)=\frac{x^2}{1+x^2}), why is (f) not onto?Class 12Relations and FunctionsOnto functionHard