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Domain And Codomain

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is called the range of a function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsIf \(f:\{1,2,3,4,5\}\to\{1,2,3\}\) is defined by \(f(x)=\max(1,4-x)\), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf the function \(f:\{1,2,3,4,5,6,7,8\}\to\{0,1\}\) is defined by \(f(n)=1\) when \(n\) is divisible by \(4\), and \(f(n)=0\) otherwise, what is \(f^{-1}(\{1\})\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsThe relation \(R=\{(x,y): |x+y|=2,\ x\in\{-2,0,2\},\ y\in\{-4,-2,0,2,4\}\}\) is considered from the domain \(\{-2,0,2\}\) to the codomain \(\{-4,-2,0,2,4\}\). Why is this relation not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf the function \(f:\{1,2,3,4\}\to\{1,2,3\}\) is defined by \(f(x)=\min(x,3)\), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf \(f:\{1,2,3,4,5,6\}\to\{0,1\}\) is defined by \(f(n)=0\) when \(n\) is divisible by \(3\), and \(f(n)=1\) otherwise, what is \(f^{-1}(\{0\})\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsLet \(R=\{(1,a),(2,b),(3,a)\}\) be a relation from \(A=\{1,2,3\}\) to \(B=\{a,b,c\}\). Which of the following statements is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsThe relation R={(x,y)∈A×B:y=x+1}, where A={1,2,3} and B={2,3,4,5}, is of which type?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf f:A→B, A={1,2,3,4}, B={0,1}, and f(x)=0 for even x while f(x)=1 for odd x, what is f⁻¹({0})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhich relation from A = {1,2,3} to B = {p,q} represents a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) and \(f(x)=5-x\), what is the range of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsLet \(A=\{1,2,3\}\), \(B=\{a,b,c\}\), and \(R=\{(1,a),(2,b),(3,a)\}\). What is the correct classification of \(R\) from \(A\) to \(B\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf A = {1, 2, 3} and B = {4, 5, 6}, which relation is a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(A=\{1,2,3\}\) and \(B=\{5,6,7\}\), which first component in \(R=\{(1,5),(2,6),(2,7),(3,5)\}\) violates the condition for a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(f(x)=x^2\) and its domain is \(A=\{-1,0,1\}\), which idea does this function illustrate?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf a relation from the set A={1,2,3} to the set B={4,5,6} is defined by 1→4, 2→5 and 3→6, what type of relation is it?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsWhich option is closest to the correct definition of a function?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf A = {2} and B = {5, 6}, how many functions can be defined from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(f:A\to B\) is a function, what is the image of \(x\in A\)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf A is a non-empty set and \(f(x)=10\) for every x \(\in A\), what is the range of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy