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Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to[-2,2]), (f(x)=\frac{2x}{1+|x|}), why is it not onto?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to(-2,2)), (f(x)=\frac{2x}{1+|x|}), choose the correct option.

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to[0,1]), (f(x)=\frac{x^2}{1+x^2}), why is (f) not onto?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to[0,1)), (f(x)=\frac{x^2}{1+x^2}), what is the correct statement about (f)?

Class 12 · Mathematics · Easy

If (A={1,2,3,4}) and (B={0,1}), how many onto functions are there from (A) to (B)?

Class 12 · Mathematics · Easy

If (A) has (4) elements and (B) has (6) elements, what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics · Easy

If (A={1,2,3,4}), (B={p,q,r}), and (f={(1,p),(2,q),(3,p),(4,q)}), why is (f) not onto?

Class 12 · Mathematics · Easy

If (A={1,2,3,4,5}), (B={a,b,c}), and (f={(1,a),(2,b),(3,c),(4,b),(5,a)}), what is correct about (f:A\to B)?

Class 12 · Mathematics · Easy

If (f:[0,\frac{\pi}{4}]\to[0,2]), (f(x)=\tan x), why is it not onto?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

If (f:[0,\frac{\pi}{3}]\to[-1,1]), (f(x)=\cos x), why is it not onto?

Class 12 · Mathematics · Easy

If (f:[0,\frac{\pi}{6}]\to[0,1]), (f(x)=\sin x), why is it not onto?

Class 12 · Mathematics · Easy

If (f:[0,2\pi]\to[-1,1]), (f(x)=\sin x), what is the correct option about (f)?

Class 12 · Mathematics · Easy

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

Class 12 · Mathematics · Easy

If (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x-2), what is the correct statement about (f)?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to[3,\infty)), (f(x)=e^x+3), why is it not onto?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to(3,\infty)), (f(x)=e^x+3), choose the correct option.

Class 12 · Mathematics · Easy

If (f:\mathbb{N}\to{6,7,8,\ldots}), (f(n)=n+5), what is the correct statement?

Class 12 · Mathematics · Easy

If (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+5), why is (f) not onto?

Class 12 · Mathematics · Easy

If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=4n+1), why is (f) not onto?