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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।

MathematicsWhy is (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (|A|=3) and (|B|=5), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (|A|=4) and (|B|=4), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionExpert MathematicsFor sets (A={1,2,3,4,5}) and (B={a,b,c}), what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+\sin x), which of the following statements is definitely correct?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\sin x), what is the most suitable reason for onto property?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 MathematicsIf (f:\mathbb{R}\to(0,1)), (f(x)=\frac{1}{1+e^x}), is (f) onto or not?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^2}{1+x^2}), which codomain element is missed?Class 12Relations and FunctionsOnto functionExpert MathematicsFor (f:\mathbb{R}\setminus{2}\to\mathbb{R}\setminus{3}), (f(x)=\frac{3x+1}{x-2}), choose the correct statement.Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[-2,3]\to[c,d]), (f(x)=x^2-2x+5) is onto and (c,d) are the actual range endpoints, what is ([c,d])?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[a,\infty)), (f(x)=x^2-6x+11) is onto, what should be the value of (a)?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 MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x+1), choose the correct statement about onto property.Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to[0,1]) and (f(x)=\frac{1}{1+e^{-x}}), why is (f) not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+1) when (x<0) and (f(x)=x^2) when (x\ge0), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIs (f:\mathbb{R}\to[1,\infty)), where (f(x)=x^2+|x|+1), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^2+|x|), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsIs (f:\mathbb{R}\to[-1,1]), where (f(x)=\cos x), onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), why is (f) not onto?Class 12Relations and FunctionsOnto functionHard