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Standard Functions

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

MathematicsWhat is the relationship between the graphs of \(f(x)=\frac{1}{x}\) and \(g(x)=\frac{1}{x}+3\)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhich function shifts (y=|x|) (4) units right and (1) unit down?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhich form shifts the graph of (y=x^2) (2) units left and (3) units up?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhich equation does not represent the graph of a function?Class 11Relations and FunctionsGraphs of standard functionsMedium 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 MathematicsWhat is the point of inflection of the graph of \(f(x)=(x+3)^3-1\)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhat is the x-coordinate of the x-intercept of the function \(f(x)=x^3-8\)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhat are the x-coordinates of the points where the graph of \(f(x)=x^2-4x\) intersects the x-axis?Class 11Relations and FunctionsGraphs of standard functionsMedium 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 MathematicsWhat is the vertex of the parabola represented by \(f(x)=x^2-6x+9\)?Class 11Conic SectionsStandard equations and simple properties of a ParabolaMedium 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 slope of the line \\(4x-2y=6\\)?Class 11Straight LinesSlope of a line and angle between two linesMedium MathematicsWhat is the slope of the line \(y=-\frac{1}{2}x+3\)?Class 11Straight LinesSlope of a line and angle between two linesMedium MathematicsWhat is the point where the line \(2x+y=8\) intersects the \(y\)-axis?Class 11Straight LinesVarious forms of the equation of a lineMedium MathematicsWhat is the \\(x\\)-coordinate of the point where the line \\(y=3x-6\\) intersects the \\(x\\)-axis?Class 11Straight LinesVarious forms of the equation of a lineMedium 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 MathematicsWhich of the following functions has a smooth U-shaped graph that is symmetric about the y-axis and touches the x-axis at the origin?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsFor the function \(f(x)=\lfloor x\rfloor\), which part of the graph is obtained for \(x\in[3,4)\)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhat is the value of (f(x)=\lfloor 2x\rfloor) at (x=1.4)?Class 11Relations and FunctionsGraphs of standard functionsMedium MathematicsWhat is the value of \(f(x)=\lfloor x+2\rfloor\) at \(x=1.6\)?Class 11Relations and FunctionsGraphs of standard functionsMedium