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

MathematicsIf (f:[-1,1]\to[0,1]), (f(x)=x^2), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionExpert MathematicsFor (f:\mathbb{R}\to[0,\infty)), where (f(x)=|x|), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsA function (f:{1,2,3,4}\to{a,b,c}) is given by (f(1)=a), (f(2)=b), (f(3)=b), (f(4)=c). Choose the correct statement.Class 12Relations and FunctionsOnto functionHard 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 MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which statement is correct?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 MathematicsChoose the correct statement for (f:(1,\infty)\to\mathbb{R}), (f(x)=\frac{x+2}{x-1}).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)=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 MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x\cos^2 x)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (A) and (B) are finite sets, (|A|=|B|=7), and (f:A\to B) is one-one, which conclusion about (f) is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is correct about the one-one nature of (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln(x^2))?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement for (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^{2x+1})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) is one-one and (g:B\to C) is not one-one, which statement about (g\circ f) is not necessarily true?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) and (g:B\to C), and (g\circ f) is one-one, which conclusion is always correct?Class 12Relations and FunctionsOne-one functionExpert