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Function Definition

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

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 MathematicsIf f: {0, 1, 2, 3} → {0, 1, 2, 3} is given by f(x) = x² − 2x + 1, is f a valid function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4}, and R = {(x, y): x − y is odd}, why is R not a function?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\begin{cases}x+2,&x<0\\x^2,&x>0\end{cases}\), why is it not a function from \(\mathbb{R}\) to \(\mathbb{R}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf A = {1, 2, 3}, B = {1, 2, 3}, why cannot f(x) = x² be called a function from A to B?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf in an arrow diagram of a relation, one element of A points to two different elements of B, what is the conclusion?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsConsider R={(x,y)∈N×N:y=x+2} from N to N. Which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhich mapping diagram represents a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsWhy is a function considered a special type of relation?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(f:\{1,2,3,4\}\to\{1,2,3\}\) is defined by \(f=\{(1,1),(2,2),(3,3),(4,3)\}\), which of the following statements is correct?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (f:A\to B) is a function, which of the following situations is impossible?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsLet \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Which of the following is a function from \(A\) to \(B\)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIf f(x)=6 for all x∈A, which statement about f is correct?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsWhich of the following statements about a function is false?Class 11Relations and FunctionsFunctions as a special kind of relationEasy