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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{0,1,2}), (f(x)=0) when (x<0), and (f(x)=1) when (x\ge0), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to{0,1}), (f(x)=0) when (x<2) and (f(x)=1) when (x\ge2), what is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lceil 2x\rceil), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x-3\rfloor), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lfloor x-3\rfloor), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), why is it not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), what is the correct statement?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[1,\infty)\to[0,\infty)), (f(x)=\sqrt{x-1}), then (f) is onto because which preimage gives (y)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(-1,1)), (f(x)=\frac{x}{1+|x|}), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:A\to B) is onto and (B={2,4,6,8}), what is (f(A))?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A) has (2) elements and (B) has (5) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A) has (3) elements and (B) has (3) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A) has (4) elements and (B) has (2) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3,4,5}), (B={a,b,c,d}), and (f={(1,a),(2,b),(3,c),(4,a),(5,b)}), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3,4}), (B={p,q,r}), and (f={(1,p),(2,q),(3,r),(4,q)}), what is correct about (f:A\to B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-2,2]), (f(x)=2\cos x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), which statement is correct?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\frac{\pi}{2}]\to[-1,1]), (f(x)=\sin x), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the main reason that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3-3x), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium