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Functions

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

MathematicsIf (f:A\to B) is bijective and (|A|=7), what is the value of (|B|)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x|), what type of function is (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich statement is correct for (f:\mathbb{R}\to[0,\infty)), (f(x)=x^2)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3), what type of function is (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsFor (f:\mathbb{R}\to\mathbb{R}), (f(x)=3x-5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsExpert MathematicsChoose the correct statement about the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+1).Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A) has (4) elements and (B) has (3) elements, how many one-one functions are possible from (A) to (B)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A={1,2,3}) and (B={4,5}), how many functions can be formed from (A) to (B)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is given by (f(x)=\frac{2x+3}{x-1}), what is the value of (f^{-1}(5))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x+1,&x<1\x^2+2,&x\geq1\end{cases}), which statement about the range of (f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^3-6x^2+12x+1), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsWhich of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is one-one but not onto?Class 12Relations and FunctionsFunctionsExpert MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is given by \(f(x)=\frac{x}{1+x^2}\), what is the range of (f)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A={1,2,3,4}) and (B={a,b}), how many functions from (A) to (B) are not onto?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A={1,2,3}), how many functions from (A) to (A) are not one-one?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (A) has (n) elements, how many bijective functions are there from (A) to (A)?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B) is bijective and (A) has (6) elements, how many elements does (B) have?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:A\to B) is a function and (f^{-1}) is also a function, which statement about (f) is definitely true?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:[0,\pi]\to[-1,1]) is given by (f(x)=\cos x), what is (f^{-1}(0))?Class 12Relations and FunctionsFunctionsExpert MathematicsIf \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\) is given by \(f(x)=\sin x\), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsExpert