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Class 12 · Mathematics

If (A) has (5) elements and (B) has (3) elements, what is correct about the existence of an onto function from (A) to (B)?

Class 12 · Mathematics

If (A={1,2,3}), (B={4,5,6,7}), why is no onto function from (A) to (B) possible?

Class 12 · Mathematics

If (A={1,2,3,4}), (B={p,q,r}), and (f(1)=p), (f(2)=q), (f(3)=q), (f(4)=r), choose the correct option for (f).

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+1), then (f) is not onto because

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), is (f) onto?

Class 12 · Mathematics

If \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\), \(f(x)=\tan x\), which option is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to[-1,1]), (f(x)=\cos x), is (f) onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to[-1,1]), (f(x)=\sin x), which statement is correct?

Class 12 · Mathematics

If (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), what type of function is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x), why is it not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to(0,\infty)), (f(x)=e^x), choose the correct option.

Class 12 · Mathematics

If (f:\mathbb{R}\to[-1,\infty)), (f(x)=x^2-1), is (f) onto?

Class 12 · Mathematics

If (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), which statement is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x|), why is it not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to[0,\infty)), (f(x)=|x|), which statement is correct about (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=5), which statement is correct?

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x-7), is (f) onto?

Class 12 · Mathematics

If (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+1), why is it not onto?

Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), choose the correct option about (f).

Class 12 · Mathematics

If (A={1,2,3}), (B={a,b}), and (f(1)=a), (f(2)=b), (f(3)=b), what type of function is (f:A\to B)?