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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।

MathematicsWhich is the correct classification of the function \(h:\mathbb{R}\to\mathbb{R}\), where \(h(x)=x^3+x\)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhich condition is necessary for a relation from set A to set B to be called a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhat is the domain of the graph of (f(x)=√(x+4)-2)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhat is the range of the function \(f(x)=x^2-4x+7\) defined over the real numbers?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsLet the function \(f:\mathbb{R}\to\mathbb{R}\) be defined by \(f(x)=|3x+2|-6\). Which of the following statements is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich statement is correct about the function \(f:\mathbb{R}\to\mathbb{R}\), where \(f(x)=x^3-3x\)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf f(x) = x² − 2x, what is the value of f(4)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(f(x)=\frac{x-3}{4}\), what is the value of \(f(11)\)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf \(f(x)=4-x\), what is the value of \(f(0)\)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\frac{x^2+2x+5}{x^2+2x+2}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3,4}) and (B={0,1,2}), how many functions from (A) to (B) have exactly (2) elements in their range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}4x-5,&x\le2\x+1,&x\ge2\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+4,&x\le2\x^2-1,&x\ge2\end{cases}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsWhich statement is correct for (R={(x,y):y=\sqrt{x+4},\ x\in{-4,-3,0,5},\ y\in{0,1,2,3}})?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:A\to B) is a function and (|A|=7), (|B|=3), how many ordered pairs will the graph of (f) contain?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{1,2,3,4,5,6}\to{1,2,3,4,5,6}) is given by (f(x)=x) when (x) is even and (f(x)=7-x) when (x) is odd, what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (R={(x,y):y=|3x-2|,\ x\in{-1,0,1,2}}), why is (R) a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3}) and (B={a,b,c,d}), how many subsets of (A\times B) are not functions from (A) to (B)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (R={(x,y):y=\frac{3}{x+2},\ x\in{-3,-2,-1},\ y\in\mathbb{R}}) is considered from (X={-3,-2,-1}) to (\mathbb{R}), what is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{0,1,2,3,4,5}\to{1,2,3,4}) is given by (f(x)=\max(1,5-x)), what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert