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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:A\to B) is a function and (A={p,q,r,s}), how many ordered pairs must the graph of (f) contain at minimum?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsConsider (R={(1,2),(1,3),(2,4)}) from (A={1,2}) to (B={2,3,4}). Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (A={1,2,3,4}) and (B={1,4,9,16}), which statement is correct for the relation (R={(x,y):y=x^2})?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (R={(x,y):x=|y|,\ x\in{1,2},\ y\in{-2,-1,1,2}}), why is (R) not a function from (A={1,2}) to (B={-2,-1,1,2})?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (f:A\to B) and (f(a)=f(b)) for (a\ne b), what conclusion follows?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (R={(1,2),(1,2),(2,3),(3,4)}) is treated as a set of ordered pairs, is it a function from (A={1,2,3}) to (B={2,3,4})?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIn which relation can repeated first coordinate still represent a function?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (R={(x,y):y=x+1,\ x\in{1,2,3},\ y\in{2,3}}), why is (R) not a function from (A={1,2,3}) to (B={2,3})?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (A={1,2}), (B={p,q,r}), what are the total relations and total functions respectively?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (A={1,2,3,4}), (B={1,2,3,4,5}), and (f(x)=x+1), which statement about range and codomain is correct?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (f={(1,4),(2,8),(3,12)}), what is the simplest rule for (f(x))?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (R={(x,y):y=|x-2|,\ x\in{0,1,2,3,4}}), what is the range of (R)?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (A={1,2,3}), what is the main difference between the identity function on (A) and the constant function (c(x)=1)?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf 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 relationMediumMathematicsA student called (R={(1,a),(2,b),(2,c),(3,d)}) a function. What is the mistake?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf f:{0,1,2}→{0,1,2,3,4} is defined by f(x)=x², what is the graph of f as a set of ordered pairs?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (f:{1,2,3}\to{1,2,3,4,5}) by (f(x)=x^2), is (f) a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (f(x)=\frac{1}{x-2}) and the domain is taken from natural numbers, which (x) cannot be in the domain?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsWhich relation from (A={1,2,3}) to (B={1,2,3}) is neither a function nor an empty relation?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (f={(1,3),(2,5),(3,7),(4,9)}), what is the value of (f(3)+f(4))?Class 11Relations and FunctionsFunctions as a special kind of relationHard

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