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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।

MathematicsA student says about the function \(h:\mathbb{R}\to\mathbb{R}\), where \(h(x)=x^3-3x\): “Since \(h(1)=h(-2)=-2\), \(h\) is not onto.” What is the correct evaluation of this statement?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^3}{1+x^2}), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax^3+bx+c), (a>0) and (b>0), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn which domain restriction will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x+2), become decreasing and one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) is one-one and (S\subseteq A), which statement is correct about the restricted function (f|_S:S\to B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x^2})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which statement is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2+3x), what is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^6+1)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which option is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsChoose the correct statement for (f:(1,\infty)\to\mathbb{R}), (f(x)=\frac{x+2}{x-1}).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^2}{1+x^2}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (A={1,2,3,4}) and (f:A\to A) has (f(1)=3), (f(2)=3), (f(3)=4), (f(4)=1), what is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn (A={1,2,3,4}), (f:A\to A) is defined by (f(1)=2), (f(2)=4), (f(3)=1), (f(4)=3). Which statement is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\min{x,1}), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\max{x,0})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+\cos x), what is the correct conclusion?Class 12Relations and FunctionsOne-one functionExpert MathematicsChoose the correct option for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x-\cos x).Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+\sin x), which statement is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert