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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 (A={1,2}) and (B={a,b,c}), how many relations are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3,4,5}), (B={0,1}), and (f(x)) is (1) when (x) is odd and (0) when (x) is even, what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3}) and (B={2,4,6}), which element breaks the function condition in (R={(1,2),(2,4),(3,6),(3,4)})?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (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 relationMediumMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{1}{x-2}), why is it not a function on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (R={(1,a),(2,a),(3,a),(4,a)}) is considered from (A={1,2,3,4}) to (B={a,b}), what is (R) an example of?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3}), (B={1,4,9,16}), and (f(x)=x^2), which element is in the codomain but not in the range?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3}) and (B={4,5,6,7}), how many ordered pairs will a function from (A) to (B) have?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf \(f:\{1,2,3\}\to\{2,5,10\}\) is defined by \(f(x)=x^2+1\), what is the value of \(f(3)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf \(A=\{1,2,3,4\}\), \(B=\{0,1\}\), and the function \(f:A\to B\) is defined by \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the value of \(f(4)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3}), (B={p,q,r}), and (R={(1,p),(2,q),(2,r),(3,p)}), why is (R) not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={a,b,c}) and (B={1,2}), how many functions are there from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf A = {0, 1, 2}, B = {1, 2, 3, 4}, and f(x) = x + 2, which ordered pair does not belong to f?Class 11Relations and FunctionsFunctions as a special kind of relationEasyMathematicsIf (A={1,2,3,4}) and (B={2,3,4,5}), which rule is represented by the relation (R={(1,2),(2,3),(3,4),(4,5)})?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={-1,0,1,2}) and (B={0,1,4}), and (f(x)=x^2), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3,4}) and (B={0,1,2}), and (f(x)) is the remainder obtained when (x) is divided by (3), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3,4}) and (B={a,b,c}), how many ordered pairs must a relation have at minimum to be a function from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (f:{1,2,3}\to{1,4,9,16}) and (f(x)=x^2), which element is in the codomain but not in the range?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (A={1,2,3}) and (B={4,5,6}), which is a one-one type function from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (f:{1,2,3}\to{0,1}) is defined by (f(x)=0) for all (x\in{1,2,3}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium

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