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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।

MathematicsA function (f:{1,2,3,4}\to{a,b,c}) is given by (f(1)=a), (f(2)=b), (f(3)=c), (f(4)=a). Choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsA function (f:{1,2,3}\to{p,q,r}) is given by (f(1)=p), (f(2)=q), (f(3)=p). Is it onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), what is the correct statement about being onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b) where (a\ne0), what type of function is it?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:[-1,1]\to[-1,1]), (f(x)=x^2), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct statement about (f:[-1,1]\to[0,1]), (f(x)=x^2).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[0,1]), (f(x)=\frac{1}{1+x^2}), what is the onto status?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(0,1]), (f(x)=\frac{1}{1+x^2}), choose the correct option.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\frac{1}{x}), why is it not onto?Class 12Relations and FunctionsOnto functionHard MathematicsWhat is the correct conclusion about (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), (f(x)=\frac{1}{x})?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[-\frac{1}{2},\frac{1}{2}]), (f(x)=\frac{x}{1+x^2}), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{1+x^2}), why is it not onto?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct conclusion for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^2).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what is the correct statement?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=x^2+1), what preimage can be taken for (y\in[1,\infty))?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+2), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsWhat type is (f:\mathbb{Z}\to{y\in\mathbb{Z}:y\text{ is odd}}), (f(n)=2n+1)?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), what is the onto status?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-5|), it is not onto because which value is not obtained?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=|x-5|), choose the correct statement.Class 12Relations and FunctionsOnto functionHard