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Piecewise Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:\mathbb{R}\to[0,\infty)), where (f(x)=|x|+x), is (f) onto or not?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+1) when (x<0) and (f(x)=x^2) when (x\ge0), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=\begin{cases}x^2,&x\ge0\-x^2,&x<0\end{cases}), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to{0,1,2}), (f(x)=0) when (x<0), and (f(x)=1) when (x\ge0), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to{0,1}), (f(x)=0) when (x<2) and (f(x)=1) when (x\ge2), what is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to{0,1,2}), (f(x)=0) when (x<0) and (f(x)=1) when (x\ge0), why is (f) not onto?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to{0,1}), (f(x)=0) when (x\le0) and (f(x)=1) when (x>0), what is correct about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsIf (f:\mathbb{R}\to{0,1}), (f(x)=0) when (x<0) and (f(x)=1) when (x\ge0), what is correct about (f)?Class 12Relations and FunctionsOnto functionEasy MathematicsWhat is the correct statement about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\max{x,0})?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct reason that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+|x|), is not one-one?Class 12Relations and FunctionsOne-one functionExpert MathematicsWhat is the correct statement about (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x|+x)?Class 12Relations and FunctionsOne-one functionExpert MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x-1) if (x<0) and (f(x)=x+1) if (x\ge0). What is correct about (f)?Class 12Relations and FunctionsOne-one functionExpert MathematicsThe function \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=x+1\) if \(x<0\) and \(f(x)=x^2\) if \(x\ge0\). What is the correct statement?Class 12Relations and FunctionsOne-one functionExpert MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2) if (x<0) and (f(x)=x+1) if (x\ge0). What is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x) if (x<0) and (f(x)=x+1) if (x\ge0). Choose the correct statement.Class 12Relations and FunctionsOne-one functionHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\), \(f(x)=\begin{cases}2x+1,&x<1\x+2,&x\ge 1\end{cases}\), which statement about (f) is correct?Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+1,&x\ge 0\x-1,&x<0\end{cases}), which statement is correct about (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsFor the function (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+3,&x<0\x^2+3,&x\geq0\end{cases}). Choose the correct option.Class 12Relations and FunctionsOne-one functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\begin{cases}2x,&x<1\x+1,&x\geq1\end{cases}), what is (f)?Class 12Relations and FunctionsOne-one functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x^2,&x<0\x,&x\geq0\end{cases}). Choose the correct statement for (f).Class 12Relations and FunctionsOne-one functionHard