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Quadratic Function

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

MathematicsWhy is the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^2+1), not onto?Class 12Relations and FunctionsOnto functionHard 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(-\infty,5]), (f(x)=5-(x+2)^2), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=x^2-4x+7), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[3,\infty)), (f(x)=x^2-4x+7), choose the correct statement.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[9,\infty)), (f(x)=(x+4)^2+9), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to(-\infty,5]), (f(x)=4-x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to(-\infty,3]), (f(x)=3-(x+1)^2), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[0,\infty)), (f(x)=(x-2)^2+1), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[4,\infty)), (f(x)=(x-1)^2+4), choose the correct option.Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[-1,\infty)), (f(x)=x^2-1), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=7-x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to(-\infty,7]), (f(x)=7-x^2), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+5), why is it not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to[5,\infty)), (f(x)=x^2+5), choose the correct option.Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+6), choose the correct statement.Class 12Relations and FunctionsOne-one functionExpert MathematicsThe function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+4x+7), will be one-one on which set?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-6x+10), which option shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[2,\infty)\to\mathbb{R}) and (f(x)=x^2-4x+5), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard