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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।

MathematicsIs (f:\mathbb{R}\to(0,1]), where (f(x)=\frac{1}{1+x^2}), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[3,\infty)) and (f(x)=x^2-4x+7), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^2-4x+7), is not onto becauseClass 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 MathematicsFor (f:\mathbb{R}\to[0,\infty)), where (f(x)=|x|), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|), why is (f) not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (|A|=5) and (|B|=3), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (A={1,2,3}), (B={p,q,r,s}), can there be an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionHard MathematicsA function (f:{1,2,3,4}\to{a,b,c}) is given by (f(1)=a), (f(2)=b), (f(3)=b), (f(4)=c). Choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}) and (f(x)=\frac{1}{x}), what is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsWhy is (f:\mathbb{R}\setminus{0}\to\mathbb{R}), where (f(x)=\frac{1}{x}), not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) and (f(x)=\frac{2x+1}{x-1}), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^4), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=x^3\), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIs the function (f:\mathbb{R}\to[1,\infty)), where (f(x)=x^2+1), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIs the function (f:\mathbb{R}\to[-1,1]), where (f(x)=\sin x), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=e^x), is not onto becauseClass 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x-7), why is (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsIs the function (f:\mathbb{R}\to(-\infty,3]), where (f(x)=3-x^2), onto?Class 12Relations and FunctionsOnto functionHard