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Class 12 · Mathematics · Easy
→If (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+1), why is (f) not onto?
Class 12 · Mathematics · Easy
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x-7), what should (x) be for any (y\in\mathbb{R}) so that (f(x)=y)?
Class 12 · Mathematics · Easy
→For (A={1,2,3}) and (B={p,q,r}), (f={(1,p),(2,p),(3,q)}). Why is it not onto?
Class 12 · Mathematics · Easy
→For sets (A={1,2,3}) and (B={a,b}), (f={(1,a),(2,b),(3,a)}). Choose the correct statement about (f:A\to B).
Class 12 · Mathematics · Easy
→If (f:\mathbb{R}\to[0,\infty)), (f(x)=x^2), what is the correct statement about (f)?
Class 12 · Mathematics · Easy
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2), why is (f) not onto?
Class 12 · Mathematics · Easy
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x+5), which statement about (f) is correct?
Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^3}{1+x^2}), what is the correct statement about (f)?
Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax^3+bx+c), (a>0) and (b>0), what is the correct statement about (f)?
Class 12 · Mathematics · Expert
→On which domain restriction will (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x+2), become decreasing and one-one?
Class 12 · Mathematics · Expert
→If (f:A\to B) is one-one and (S\subseteq A), which statement is correct about the restricted function (f|_S:S\to B)?
Class 12 · Mathematics · Expert
→What is the correct conclusion about (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x^2})?
Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which statement is correct?
Class 12 · Mathematics · Expert
→Which is the correct example showing that (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2), is not one-one?
Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x^2+3x), what is correct about (f)?
Class 12 · Mathematics · Expert
→What is the correct statement for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^6+1)?
Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which option is correct?
Class 12 · Mathematics · Expert
→Choose the correct statement for (f:(1,\infty)\to\mathbb{R}), (f(x)=\frac{x+2}{x-1}).
Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x^2}{1+x^2}), why is (f) not one-one?
Class 12 · Mathematics · Expert
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