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Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\sqrt[3]{x}), which statement is correct about (f)?

Class 12 · Mathematics

Why is (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt{x}), not onto?

Class 12 · Mathematics

If (f:[0,\infty)\to[0,\infty)), (f(x)=\sqrt{x}), is (f) onto?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to(0,1)), (f(x)=\frac{1}{1+e^{-x}}), choose the correct statement for (f).

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\tan x), what is correct before deciding onto nature?

Class 12 · Mathematics

Which statement is correct for \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\), \(f(x)=\tan x\)?

Class 12 · Mathematics

If (f:(-\frac{\pi}{2},\frac{\pi}{2})\to[-1,1]), (f(x)=\sin x), what is the correct conclusion?

Class 12 · Mathematics

If \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\), \(f(x)=\sin x\), choose the correct option about (f).

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

If (A={1,2,3,4}) and (B={p,q,r}), which of the following functions (A\to B) is onto?

Class 12 · Mathematics

If (|A|=4) and (|B|=2), what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics

If (|A|=5) and (|B|=3), how many onto functions are there from (A) to (B)?

Class 12 · Mathematics

If (A={1,2,3}), (B={a,b,c,d}), and (f:A\to B), can (f) be onto?

Class 12 · Mathematics

Choose the correct statement for (f:\mathbb{Z}\to{z\in\mathbb{Z}:z\text{ is odd}}), (f(n)=2n+1).

Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n+1), why is (f) not onto?

Class 12 · Mathematics

What is the correct conclusion for (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+5)?

Class 12 · Mathematics

If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), is (f) onto?

Class 12 · Mathematics

For (f:\mathbb{R}\to(-\infty,3)), (f(x)=3-x^2), which statement is correct?