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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: ℝ → ℝ is defined by f(x) = x² + 1 for x ≤ −1 and f(x) = 2 − x for x > −1, what is f(−1)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy MathematicsIn which option is (R) a function from (A={1,2,3,4}) to (B={5,6,7,8}), but (R^{-1}) is not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{a,b,c,d,e,f\}\), how many functions from \(A\) to \(B\) have distinct images for all five elements of \(A\)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (R={(x,y):x=y^7,\ x\in{-128,-1,0,1,128},\ y\in{-2,-1,0,1,2}}), which statement about (R) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A={1,2,3,4,5,6}) and (B={a,b}), how many functions from (A) to (B) satisfy (f(2)=a) or (f(5)=b)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf f: ℝ → ℝ is given by f(x) = 3x − 2 for x < 4 and f(x) = x² − 10 for x ≥ 4, what is f(4)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsWhat is the range of \(R={(x,y):y=\frac{2x-1}{x+1},\ x\in{-3,-2,0,1},\ y\in\mathbb{R}}\)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (|A|=4) and (|B|=3), what are the numbers of all relations and all functions from (A) to (B), respectively?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:[0,16]\to\mathbb{R}) is given by (f(x)=\sqrt{x}+\sqrt{16-x}), what is the maximum value of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (R\subseteq A\times B), (A={1,2,3,4,5}), (B={m,n}), and (R) has exactly (5) ordered pairs, when will (R) be a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{5}\to\mathbb{R}) is given by (f(x)=\frac{x^2-25}{x-5}), which value will not belong to the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf A = {1,2,3,4,5}, B = {1,2,3,4,5}, 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:{1,2,3,4,5,6}\to{1,2,3,4,5,6}) is given by (f(x)=7-x), which statement about (f^{-1}) is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{0,1\}\), how many functions from \(A\) to \(B\) have exactly 4 elements of \(A\) mapped to 1?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:A\to B) is a function and (C\subseteq A), which statement about (f(C)) is always true?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (A=\emptyset) and (B=\emptyset), what are respectively the number of functions from (A) to (B) and the number of ordered pairs in the graph of that function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsThe function (f:[-3,5]\to\mathbb{R}) is given by (f(x)=|x+2|+|x-4|). What is its range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIn which option is the relation not a function from A = {1,2,3,4,5} to B = {p,q,r}, even though every element of A appears as a first component?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf (A={1,2,3,4,5}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)\le f(2)<f(3)) and (f(4)=f(5))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}-{-2}\to\mathbb{R}) is given by (f(x)=\frac{x^2+4x+4}{x+2}), what is the range of (f)?Class 11Relations and FunctionsFunctions as a special kind of relationExpert