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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{Z}\to 2\mathbb{Z}) is defined by (f(x)=2x), what type is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct statement for (f:\mathbb{Z}\to \mathbb{Z}), (f(x)=2x).Class 12Relations and FunctionsOnto functionMedium MathematicsIf \(f:\mathbb{R}\to \left[-\frac{1}{4},\infty\right)\), \(f(x)=x^2-x\), what type is \(f\)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhich conclusion is correct for \(f:\mathbb{R}\to \mathbb{R}\), \(f(x)=x^2-x\)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to [0,1)), (f(x)=\frac{x^2}{1+x^2}), what type is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct option about (f:\mathbb{R}\to [0,1]), (f(x)=\frac{x^2}{1+x^2}).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to (-1,1)), (f(x)=\frac{x}{1+|x|}), what is the correct answer for (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\frac{x}{1+|x|})?Class 12Relations and FunctionsOnto functionMedium MathematicsIf \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to \mathbb{R}\), \(f(x)=\tan x\), what type is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=\tan x), which point must be noticed?Class 12Relations and FunctionsOnto functionMedium MathematicsWhat is the correct conclusion for (f:[0,\infty)\to \mathbb{R}), (f(x)=x^2)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to [0,\infty)) is defined by (f(x)=x^2), what type is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^4+1).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3+x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to [1,\infty)), (f(x)=x^2-6x+10)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^2-6x+10), is (f) onto or not?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:A\to B) is onto, which relation must be true?Class 12Relations and FunctionsOnto functionMedium MathematicsUnder which condition is (f:A\to B) called onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3,4}), (B={p,q}), and (f(1)=p), (f(2)=q), (f(3)=p), (f(4)=q), what type is (f:A\to B)?Class 12Relations and FunctionsOnto functionMedium MathematicsLet (A={1,2,3}), (B={a,b,c}), and (f:A\to B) with (f(1)=a), (f(2)=b), (f(3)=b). Is (f) onto?Class 12Relations and FunctionsOnto functionMedium