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Cubic 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{R}\to\mathbb{R}), where (f(x)=x^3+1), which statement is correct for (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-3x), choose the correct statement about (f) being onto.Class 12Relations and FunctionsReflexive relationExpert MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=x^3\), which statement about (f) is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^3-1), then what type of function is it?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-2), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), what is the correct reason that (f) is onto?Class 12Relations and FunctionsOnto functionEasy MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-12x+5), not one-one on all of (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-6x^2+12x+1)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+3x+2), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3-5), choose the correct statement about (f).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) and (f(n)=n^3), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x^3+1), what is the nature of (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), then (f) is not one-one. Which reason is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x^3+1), what conclusion follows from (f(a)=f(b)) in a one-one test?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-4), what type of function is (f)?Class 12Relations and FunctionsOne-one functionHard 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)=2x^3-5), what is the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+2), choose the correct option for (f).Class 12Relations and FunctionsOne-one functionMedium