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Functions As Relations

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

MathematicsIf \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) and \(f(x)=5-x\), which of the following is the graph of \(f\)?Class 11Relations and FunctionsGraphs of standard functionsHard MathematicsIf \\(A=\{1,2,3,4,5\}\\) and \\(B=\{0,1\}\\), and in relation \\(R\\), \\(y=0\\) for even \\(x\\) and \\(y=1\\) for odd \\(x\\), is \\(R\\) a function from \\(A\\) to \\(B\\)?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf \(f:\{1,2,3,4\}\to\{0,1\}\) is defined by the rule that \(f(x)=1\) when \(x\) is prime and \(f(x)=0\) when \(x\) is not prime, what is the value of \(f(4)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(A=\{1,2,3\}\) and \(B=\{0,1,2\}\), and \(f:A\to B\) is defined by \(f(x)\) being the remainder when \(x\) is divided by 2, what is the range of \(f\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMedium MathematicsIf the function \(f:\{1,2,3\}\to\{2,4,6,8\}\) is defined by \(f(x)=2x\), which of the following ordered pairs does not belong to the graph of \(f\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium