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Relations And Functions

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 \mathbb{R}), (f(x)=x^3+x), what is the correct statement about (f)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsWhat is the correct conclusion about (f:\mathbb{R}\to [1,\infty)), (f(x)=x^2-6x+10)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^2-6x+10), is (f) onto or not?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:A\to B) is onto, which relation must be true?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsUnder which condition is (f:A\to B) called onto?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (A={1,2,3,4}), (B={p,q}), and (f(1)=p), (f(2)=q), (f(3)=p), (f(4)=q), what type is (f:A\to B)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsLet (A={1,2,3}), (B={a,b,c}), and (f:A\to B) with (f(1)=a), (f(2)=b), (f(3)=b). Is (f) onto?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsWhich statement is true for (f:\mathbb{R}\to {5}), (f(x)=5)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=5), what is the correct conclusion?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsWhich option is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=2x+7)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to [0,\infty)) is defined by (f(x)=|x|), is (f) onto or not?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsChoose the correct statement about (f:\mathbb{R}\to \mathbb{R}), (f(x)=|x|).Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to [-1,1]), (f(x)=\cos x), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsWhich statement is correct for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\sin x)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to (0,\infty)) is defined by (f(x)=e^x), what type of function is (f)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=e^x).Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsWhy is (f:\mathbb{Z}\to \mathbb{Z}), (f(x)=x-5), onto?Class 12Relations and FunctionsOnto functionLevel 27Medium 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 functionLevel 27Medium MathematicsChoose the correct statement for (f:\mathbb{R}\to [2,\infty)), (f(x)=x^2+2).Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^2+4), is (f) onto?Class 12Relations and FunctionsOnto functionLevel 27Medium