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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।

MathematicsWhich statement is true for (f:\mathbb{R}\to {5}), (f(x)=5)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=5), what is the correct conclusion?Class 12Relations and FunctionsOnto functionMedium MathematicsWhich option is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=2x+7)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to [0,\infty)) is defined by (f(x)=|x|), is (f) onto or not?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct statement about (f:\mathbb{R}\to \mathbb{R}), (f(x)=|x|).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to [-1,1]), (f(x)=\cos x), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\sin x)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to (0,\infty)) is defined by (f(x)=e^x), what type of function is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=e^x).Class 12Relations and FunctionsOnto functionMedium MathematicsWhy is (f:\mathbb{Z}\to \mathbb{Z}), (f(x)=x-5), onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{N}\to \mathbb{N}) is defined by (f(n)=n+1) and (\mathbb{N}={1,2,3,\ldots}), what is true about (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsChoose the correct statement for (f:\mathbb{R}\to [2,\infty)), (f(x)=x^2+2).Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^2+4), is (f) onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^3-1), then what type of function is it?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{Z}\to{0,1,2}) is defined such that (f(n)) is the remainder when (n) is divided by (3), what type of function is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to[-1,1]), (f(x)=\frac{x}{\sqrt{1+x^2}}), why is it not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to(-1,1)), (f(x)=\frac{x}{\sqrt{1+x^2}}), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[-1,1]\to[0,2]), (f(x)=x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[-1,1]\to[0,1]), (f(x)=x^2), which statement is correct?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+x^2+x), is (f) onto?Class 12Relations and FunctionsOnto functionMedium