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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 (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x), what is the correct reason for being onto?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), what is the correct conclusion?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to[-1,1]), (f(x)=\sin x).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+x^2), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), what is the correct conclusion about onto property?Class 12Relations and FunctionsOnto functionHard MathematicsIf (A) has (3) elements and (B) has (5) elements, what is the number of onto functions (A\to B)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (A) has (5) elements and (B) has (3) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (A={1,2,3,4}), (B={a,b,c}), and (f:A\to B) is onto, which distribution is possible?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x-1}), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x), which conclusion is correct while checking onto property?Class 12Relations and FunctionsOnto functionHard MathematicsFor the function (f:\mathbb{R}\to(0,\infty)), (f(x)=e^x), which option is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(-1,1)) and (f(x)=\frac{x}{1+|x|}), choose the correct statement about the function.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2), why is it not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[2,\infty)) and (f(x)=x^2+2), then what type of function is it?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=\begin{cases}x^2,&x\ge0\-x^2,&x<0\end{cases}), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3+e^x).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:(-\infty,1]\to [0,\infty)), (f(x)=x^2-2x+1), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionHard MathematicsWhat is the correct conclusion for (f:[1,\infty)\to [0,\infty)), (f(x)=x^2-2x+1)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to [1,\infty)), (f(x)=\sqrt{x^2+1}), what type is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=\sqrt{x^2+1}), choose the correct option about (f).Class 12Relations and FunctionsOnto functionHard