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Real Valued Functions

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 given by f(x) = (x² + 4)/(x² + 1), what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Hard MathematicsIf f: R → R is given by f(x) = x² + 2x + 5, what is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Medium MathematicsIf f: ℝ → ℝ is given by f(x) = |x − 2| + 3, what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Medium MathematicsIf f: ℝ → ℝ is given by f(x) = 1/(x² − 9), what should be the domain to make it a valid real function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Medium MathematicsLet A={1,2,3,4}, B={a,b}, and f(1)=a, f(2)=a, f(3)=b, f(4)=b. Which statement is correct?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium MathematicsWhich of the following correctly describes the domain and range of the real-valued function \(f(x)=\frac{x^2+1}{x^2-1}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Hard MathematicsLet A={−2,−1,0,1,2} and f:A→Z be defined by f(x)=x²−1. What is the range of f?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Medium MathematicsWhich of the following functions has the set of all real numbers as its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 30Easy MathematicsWhich of the following functions has all real numbers as its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 29Easy MathematicsWhat is the range of the function f = {(1,5), (2,5), (3,6)}?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 28Easy MathematicsIf A={1,2,3,4} and R={(a,b): a,b∈A, a+2=b}, what is the domain of R?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 25Medium MathematicsIf R={(2,5),(4,7),(6,9)}, what is the range of R?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 27Easy MathematicsIf A = {1,2,3} and R = {(1,2),(2,3)}, which element is in the domain of R but not in its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 25Easy