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Functions As A Special Kind Of Relation

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

MathematicsIf (f:{1,2,3,4}\to{0,1,2}) is defined by (f(x)=x-2), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3}), (B={2,4,8}), and (f(x)=2^x), what is the range of (f)?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 (R={(x,y):y^2=x,\ x\in{1,4},\ y\in{-2,-1,1,2}}) is considered from (x) to (y), why is (R) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf A = {1, 2, 3} and B = {a, b, c}, which option is not a function because one domain element is missing?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf A = {1, 2, 3}, B = {u, v, w}, and f = {(1, u), (2, v), (3, w)}, what is the range of f?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf (A={1,2,3}) and (B={a,b,c,d}), how many constant functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(f:\mathbb{N}\to\mathbb{N}\) is defined by \(f(x)=2x+1\), what is the value of \(f(6)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium 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={2,3,4}), (B={4,9,16,25}), and (f(x)=x^2), which element of the codomain will not be in the range?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f={(1,3),(2,3),(3,5),(4,5)}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3,4}), (B={2,4,6,8}), and (f={(1,2),(2,4),(3,6),(4,8)}), what is the domain of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:A\to B) and (f(a)=b), what is (b) called for (a)?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 the function \(f:\{1,2,3,4\}\to\{1,2\}\) is defined by \(f(x)=1\) when \(x<2\) and \(f(x)=2\) when \(x\ge 2\), what is the value of \(f(2)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf the function \(f:\{1,2,3,4\}\to\{1,2\}\) is defined by \(f(x)=1\) when \(x\le 2\), and \(f(x)=2\) when \(x>2\), what is the value of \(f(2)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3}), (B={x,y}), and (R={(1,x),(3,y)}), why is (R) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (g:{0,1,2,3}\to{1,2,3,4}) is defined by (g(x)=x+1), what is the range of (g)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f={(1,2),(2,4),(3,6)}), what will (f^{-1}={(2,1),(4,2),(6,3)}) be considered from ({2,4,6}) to ({1,2,3})?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2}) and (B={a,b,c}), how many functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium