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Class 12 · Mathematics

If (f:\mathbb{R}\to(-1,1)) and (f(x)=\frac{x}{1+|x|}), choose the correct statement about the function.

Class 12 · Mathematics

If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2), why is it not onto?

Class 12 · Mathematics

If (f:\mathbb{R}\to[2,\infty)) and (f(x)=x^2+2), then what type of function is it?

Class 12 · Mathematics

If (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=\begin{cases}x^2,&x\ge0\-x^2,&x<0\end{cases}), choose the correct statement about (f).

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:(-\infty,1]\to [0,\infty)), (f(x)=x^2-2x+1), what is the correct statement about (f)?

Class 12 · Mathematics

What is the correct conclusion for (f:[1,\infty)\to [0,\infty)), (f(x)=x^2-2x+1)?

Class 12 · Mathematics

If (f:\mathbb{R}\to [1,\infty)), (f(x)=\sqrt{x^2+1}), what type is (f)?

Class 12 · Mathematics

If (f:\mathbb{R}\to \mathbb{R}), (f(x)=\sqrt{x^2+1}), choose the correct option about (f).

Class 12 · Mathematics

What is the correct conclusion about (f:\mathbb{R}\to [4,\infty)), (f(x)=|x-2|+|x+2|)?

Class 12 · Mathematics

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

Class 12 · Mathematics

If (f:\mathbb{R}\to \mathbb{R}), (f(x)=\lceil x\rceil), what type is (f)?

Class 12 · Mathematics

What is the correct conclusion for (f:\mathbb{R}\to \mathbb{Z}), (f(x)=\lceil x\rceil)?

Class 12 · Mathematics

If (f:\mathbb{Z}\to {n\in\mathbb{Z}:n\ge0}), (f(n)=n^2), what is correct about (f)?

Class 12 · Mathematics

Choose the correct statement for (f:\mathbb{Z}\to \mathbb{Z}), (f(n)=n^2).

Class 12 · Mathematics

If (f:\mathbb{Z}\to {0,1,2}), where (f(n)) is the remainder when (n) is divided by (3), what type is (f)?

Class 12 · Mathematics

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

Class 12 · Mathematics

If \(f:\left[0,\frac{\pi}{2}\right]\to [-1,1]\), \(f(x)=\sin x\), which statement is correct?

Class 12 · Mathematics

Choose the correct option for (f:[0,\pi]\to [-1,1]), (f(x)=\cos x).

Class 12 · Mathematics

If (f:[-1,1]\to [0,1]), (f(x)=x^3), what is the correct conclusion about (f)?