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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{N}\to\mathbb{N}), (f(n)=n+1), why is it not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), choose the correct option about (f).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3}), (B={a,b}), and (f(1)=a), (f(2)=b), (f(3)=b), what type of function is (f:A\to B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), then what type of function is it?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^2+2x), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2+2x), what can be a preimage of (y\ge0) to show that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-\frac{\pi}{2},\frac{\pi}{2}]), (f(x)=\tan^{-1}x), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(-\frac{\pi}{2},\frac{\pi}{2})), (f(x)=\tan^{-1}x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (g\circ f:A\to C) is onto, which of the following conclusions is always true?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:A\to B) is onto and (g:B\to C) is onto, what can be said about (g\circ f:A\to C)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-1,1)), (f(x)=\frac{x^2-1}{x^2+1}), what is the correct statement?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-1,1]), (f(x)=\frac{x^2-1}{x^2+1}), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(1,\infty)), (f(x)=e^{|x|}), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=e^{|x|}), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+2), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[2,\infty)), (f(x)=x^6+2), what is the correct statement?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x+1), what is a valid reason that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt{(x+5)^2}), why is it not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=\sqrt{(x+5)^2}), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n^3), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium