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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।

MathematicsChoose the correct statement for the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x+5).Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (A={1,2,3,4}) and (f:A\to\mathbb{N}) is defined by the remainder of (x \pmod{2}), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (A={2,4,6}) and (f:A\to\mathbb{N}) is defined by (f(x)=\frac{x}{2}), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2|x|+1), which statement is correct?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-x), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), what is the correct conclusion about (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^6+1), (f) is not one-one becauseClass 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{3x-1}{5}), choose the correct statement for (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x+1), what is the conclusion for the same formula on all (\mathbb{R})?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:[1,\infty)\to\mathbb{R}) and (f(x)=x^2-2x+1), choose the correct option about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x+1|+3), is (f) one-one or not?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (A={1,2,3,4}) and (f:A\to A) has (f(x)=x), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sqrt{x^2}), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=\sqrt{x}), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|2x|), what is the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=4x+4), what conclusion follows from (f(a)=f(b))?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+x), choose the correct conclusion for (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5), choose the correct option about (f).Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(x+5)^2), (f) is not one-one. Which pair proves it?Class 12Relations and FunctionsOne-one functionMedium