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Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-5|), it is not onto because which value is not obtained?

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to[0,\infty)), (f(x)=|x-5|), choose the correct statement.

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+3x), what is the correct reason for being onto?

Class 12 · Mathematics · Hard

For (f:(-\frac{\pi}{2},\frac{\pi}{2})\to\mathbb{R}), (f(x)=\tan x), what is the correct conclusion?

Class 12 · Mathematics · Hard

Choose the correct option for (f:\mathbb{R}\to[-1,1]), (f(x)=\sin x).

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^4+x^2), which statement is correct?

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-x), what is the correct conclusion about onto property?

Class 12 · Mathematics · Hard

If (A) has (3) elements and (B) has (5) elements, what is the number of onto functions (A\to B)?

Class 12 · Mathematics · Hard

If (A) has (5) elements and (B) has (3) elements, what is the number of onto functions from (A) to (B)?

Class 12 · Mathematics · Hard

If (A={1,2,3,4}), (B={a,b,c}), and (f:A\to B) is onto, which distribution is possible?

Class 12 · Mathematics · Hard

For (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x-1}), choose the correct statement.

Class 12 · Mathematics · Hard

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=e^x), which conclusion is correct while checking onto property?

Class 12 · Mathematics · Hard

For the function (f:\mathbb{R}\to(0,\infty)), (f(x)=e^x), which option is correct?

Class 12 · Mathematics · Hard

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

Class 12 · Mathematics · Hard

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

Class 12 · Mathematics · Hard

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

Class 12 · Mathematics · Hard

Which of the following functions is onto its given codomain?

Class 12 · Mathematics · Medium

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), then what type of function is it?

Class 12 · Mathematics · Easy

If (f:\mathbb{R}\to\mathbb{R}), (f(x)=-3x+6), what is the correct value of (x) for (f(x)=y)?

Class 12 · Mathematics · Easy

If (A) and (B) are finite sets and (f:A\to B) is onto, which statement is definitely true?