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One One Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:[2,\infty)\to\mathbb{R}) and (f(x)=(x-2)^2), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sqrt[3]{x}), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=0x+8), what is the correct option about (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (A={1,2,3}) and (B={4,5,6,7}), (f:A\to B) is given by (f(1)=4), (f(2)=6), (f(3)=7). What is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=9x), why is (f) one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x), which pair shows (f) is not one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:[0,\pi]\to\mathbb{R}) and (f(x)=\cos x), choose the correct conclusion about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3-5), what is the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}) and (f(x)=\frac{1}{x^2}), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:(0,\infty)\to\mathbb{R}) and (f(x)=\frac{1}{x}), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^4), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{x+1}{2}), choose the correct conclusion for (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (A={1,2,3,4}) and (f:A\to A) has (f(1)=1), (f(2)=1), (f(3)=3), (f(4)=4), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{N}\to\mathbb{N}) and (f(n)=n^2), choose the correct option about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{N}\to\mathbb{N}) and (f(n)=n+4), what is the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=2n+1), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), which pair shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:(-\infty,0]\to\mathbb{R}) and (f(x)=x^2), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sin x), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionMedium