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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={1,2,3,4,5}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)=f(3))?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf f: R → R is given by f(x) = {x + 1 for x ≤ 2; x² for x ≥ 2}, why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHardMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+1,&x\le2\x^2-1,&x\ge2\end{cases}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsWhich statement is correct for (R={(x,y):y=\sqrt{x},\ x\in{0,1,4,9},\ y\in{0,1,2,3}})?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (f:A\to B) is a function and (|A|=3), (|B|=2), how many ordered pairs will the graph of (f) contain?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (R={(x,y):y=|x-2|,\ x\in{0,1,2,3,4}}), why is (R) a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (A={1,2,3}) and (B={a,b}), how many subsets of (A\times B) are not functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) has range ([3,\infty)) and (f(x)=(x-a)^2+b), which pair below is possible?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (R={(x,y):y=\frac{1}{x},\ x\in{-1,0,1},\ y\in\mathbb{R}}) is considered from (X={-1,0,1}) to (\mathbb{R}), what is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf A={1,2,3,4} and B={0,1}, how many functions f:A→B have at least one input with image 1?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIn which option is relation (R) a function from (A={0,1,2}) to (B={0,1,2}), but (R^{-1}) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (A={1,2,3}) and (B={a,b,c,d}), how many functions from (A) to (B) have (f(1),f(2),f(3)) all distinct?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2+1}{x^2+2}), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsThe relation R = {(x,y): |x-y| = 1, x ∈ {1,2,3}, y ∈ {1,2,3,4}} is considered from X to Y. Why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf f: {1,2,3,4} → {1,2,3,4} is given by f(x) = x² - 4x + 5, which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMediumMathematicsIf (R={(x,y):x=y^3,\ x\in{-8,-1,0,1,8},\ y\in{-2,-1,0,1,2}}) is considered as a relation from (X) to (Y), what is (R)?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x|+|x-2|), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (A={1,2,3,4}) and (B={a,b}), how many functions from (A) to (B) satisfy (f(1)=a) or (f(2)=b)?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsWhich option will not define a function (f:\mathbb{R}\to\mathbb{R}) on all of (\mathbb{R})?Class 11Relations and FunctionsFunctions as a special kind of relationExpertMathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x<1\2x-1,&x\ge1\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert

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