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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।

MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+|x|), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn which interval is (f:(0,\infty)\to\mathbb{R}), (f(x)=x+\frac{1}{x}), one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4-2x^2), which example correctly shows that (f) is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich option is correct about the one-one nature of (f:\mathbb{R}\setminus{2}\to\mathbb{R}), (f(x)=\frac{x^2-4}{x-2})?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{3x-2}{x+5}) and (x\ne-5), what is correct about the one-one nature of (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsAmong one-one functions from (A={1,2,3,4}) to (B={5,6,7,8,9}), if the image of (1) is fixed as (5), how many such functions are possible?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (A) has (6) elements and (B) has (8) elements, what is the number of one-one functions from (A) to (B)?Class 12Relations and FunctionsOne-one functionExpert MathematicsOn which interval will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-8x+13), not be one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:[2,\infty)\to\mathbb{R}), (f(x)=x^2-4x+6), choose the correct statement.Class 12Relations and FunctionsOne-one functionExpert 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 MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+6x^2+12x+9), which statement about the one-one nature of (f) is correct?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:A\to B) is one-one and (A) has (n) elements, how many elements will (f(A)) have?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-1), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsFor (f:A\to A) defined by (f(x)=4-x) on (A={1,2,3}), choose the correct statement.Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x^2+3x+5), which statement is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-1|+|x+1|)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lceil x\rceil), why is (f) not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhich statement is correct about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOne-one functionExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^7-4x^5+x), what is the most suitable first step to test one-one nature?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhy is (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-9x), not one-one on all (\mathbb{R})?Class 12Relations and FunctionsOne-one functionExpert