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Onto 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[0,1)), (f(x)=\frac{x^2}{1+x^2}), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[0,1]), (f(x)=\frac{x^2}{1+x^2}), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(1,\infty)), (f(x)=e^x+1), choose the correct statement.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{N}\to{1,3,5,\ldots}), (f(n)=2n-1), what type of function is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{N}\to\mathbb{N}), (f(n)=2n-1), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{Z}\to2\mathbb{Z}), (f(n)=2n), where (2\mathbb{Z}) is the set of even integers, choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x), what is the correct statement for (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-4x+5), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[4,\infty)\to[1,\infty)), (f(x)=|x-4|+1), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[1,\infty)), (f(x)=|x-4|+1), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(-\infty,4]), (f(x)=4-x^2), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[3,\infty)), (f(x)=(x-2)^2+3), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,2]\to[0,5]), (f(x)=x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,2]\to[0,4]), (f(x)=x^2), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[1,\infty)\to[0,\infty)), (f(x)=x-1), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=3x^3-2), which option is correct for (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(0,1]), (f(x)=\frac{1}{1+x^2}), what type of function is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{1}{1+x^2}), then (f) is not onto becauseClass 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}), (f(x)=\frac{1}{x}), what is the correct option?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x-1}), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionMedium