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Function Validity

Class 11 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}) is given by (f(x)=\begin{cases}4x-5,&x\le2\x+1,&x\ge2\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x-1,&x\le3\x+2,&x\ge3\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich option gives a rule that is not a valid function (f:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich option gives a valid function (f:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich option gives a valid function (g:\mathbb{N}\to\mathbb{N})?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (A={1,2,3}) and (B={2,4,6}), what is the correct statement about (R={(1,2),(2,4),(3,6),(3,6)})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:{1,2,3}\to{2,4,6}) and (f(x)=2x), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:\mathbb{R}\setminus{-3}\to\mathbb{R}) and (f(x)=\frac{1}{x+3}), why is it a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:{0,1,2}\to{0,1,4}) and (f(x)=x^2), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3,4}) and (B={1,4,9,16}), and (f(x)=x^2), which statement about (f) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:\mathbb{R}\setminus{2}\to\mathbb{R}) and (f(x)=\frac{1}{x-2}), why is it a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3}) and (B={4,5,6}), what is correct about (R={(1,4),(2,5),(3,6),(3,6)})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium