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Onto 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+\sin x), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to [-4,\infty)), (f(x)=x^4-4x^2), what type is (f)?Class 12Relations and FunctionsOnto functionHard MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^4-4x^2)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^3-3x+1), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[-2,2]\to [0,4]) is defined by (f(x)=x^2), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) and (g:\mathbb{R}\to \mathbb{R}) are both onto, what is the correct statement about (g\circ f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3-3x^2+3x)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to [0,\infty)), (f(x)=\ln(1+x^2)), what is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\ln(1+x^2)).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:A\to B) is onto and (B) has (4) elements, how many elements must the range have?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A) has (2) elements and (B) has (2) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A) has (3) elements and (B) has (2) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (|A|=5) and (|B|=3), what is the correct statement about the existence of an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (A={1,2,3}) and (B={x,y,z,w}), can there be an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{Z}), (f(x)=\lfloor x\rfloor), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\lfloor x\rfloor)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to (0,1]), (f(x)=\frac{1}{1+x^2}), what type is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct answer for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\frac{1}{1+x^2}).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{N}\to {1,3,5,7,\ldots}), (f(n)=2n-1), what is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhat is the correct option for (f:\mathbb{N}\to \mathbb{N}), (f(n)=2n-1)?Class 12Relations and FunctionsOnto functionMedium