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Real Valued Functions Their Domain And Range

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

MathematicsWhich of the following functions has all real numbers as its domain but does not have all real numbers as its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsFor the function \(y=\frac{x}{|x|}\), at which value of \(x\) is it undefined?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeHard MathematicsWhich of the following functions has a domain consisting only of positive real numbers?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the real domain of \(f(x)=\sqrt{16-x^2}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeEasy MathematicsFor the function \(f(x)=\{x-2\}\), what is the value of \(f(5.75)\)? Here, \(\{y\}\) denotes the fractional part of \(y\).Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the range of the fractional-part function f(x) = {x}?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the range of the function \(f(x)=\frac{1}{x+4}+6\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the range of the function \\(f(x)=2\\sqrt{x+1}-5\\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the maximum value of the function \(f(x)=3-\sqrt{x-1}\), where \(x\ge 1\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat are the zeros of the function \(f(x)=x^2+8x+15\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the value of the function f(x) = |x + 4| − |x − 2| at x = −1?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the value of the function \(f(x)=|x-2|+|x-6|\) at \(x=4\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the domain of the function \(f(x)=\sqrt{2x+6}\) over the real numbers?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhich of the following real-valued functions has domain \(\mathbb{R}\) and range \([0,\infty)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the value of \(f(x)=|x-2|+|x+2|\) at \(x=1\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat are the zeros of the function \(f(x)=|x^2-4|\), that is, the values of \(x\) for which \(f(x)=0\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf \(f(x)=x^2+4x+7\), where \(x\in\mathbb{R}\), what is the minimum value of the function?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf the real-valued function is \(f(x)=\dfrac{\sqrt{4-x^2}}{x-1}\), which of the following is its domain?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the value of the function \(f(x)=|x|-|x-2|\) at \(x=3\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsWhat is the value of the function \(f(x)=\{x+1\}\) at \(x=2.3\)? Here, \(\{y\}\) denotes the fractional part of \(y\).Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium