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Piecewise Function

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

MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}4x-5,&x\le2\x+1,&x\ge2\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+4,&x\le2\x^2-1,&x\ge2\end{cases}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert 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 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 MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x-1,&x\le3\x+2,&x\ge3\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+3,&x\le1\x^2+1,&x\ge1\end{cases}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x\le1\x+2,&x>1\end{cases}), what is (f(1))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}2x+1,&x<2\x^2-1,&x\ge2\end{cases}), what is (f(2))?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf f: R → R is given by f(x) = {x + 1 for x ≤ 2; x² for x ≥ 2}, why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+1,&x\le2\x^2-1,&x\ge2\end{cases}), why is it not a function?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) is defined by \(f(x)=x\) when \(x\) is odd and by \(f(x)=5-x\) when \(x\) is even, what is its range?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\begin{cases}x+2,&x<0\\x^2,&x>0\end{cases}\), why is it not a function from \(\mathbb{R}\) to \(\mathbb{R}\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x<1\2x-1,&x\ge1\end{cases}), which statement is correct?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+1,&x<0\x^2,&x\ge0\end{cases}), what is (f(0))?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf the function \(h:\{1,2,3,4,5\}\to\{0,1\}\) is defined by \(h(x)=0\) when \(x<3\) and \(h(x)=1\) when \(x\geq 3\), what is the value of \(h(3)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf the function \(f:\{1,2,3,4\}\to\{1,2\}\) is defined by \(f(x)=1\) when \(x<2\) and \(f(x)=2\) when \(x\ge 2\), what is the value of \(f(2)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{0,1\}\), and the function \(f:A\to B\) is defined by \(f(x)=0\) when \(x\) is even and \(f(x)=1\) when \(x\) is odd, what is the value of \(f(4)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsIf h:{1,2,3,4} → {0,1} is defined by h(x)=1 when x>2 and h(x)=0 when x≤2, what is h(2)?Class 11Relations and FunctionsFunctions as a special kind of relationEasy