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Class 12 · Mathematics · Expert
→The function (f:\mathbb{R}\to(-\infty,4]) is defined by (f(x)=4-(x-2)^2). What type of function is it?
Class 12 · Mathematics · Expert
→Let (f:\mathbb{R}\to[0,\infty)) be defined by (f(x)=x^2+2x+1). When will (f) be considered onto?
Class 12 · Mathematics · Expert
→Which of the following functions \(f:\mathbb{R}\to\mathbb{R}\) is onto?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+1) when (x<0) and (f(x)=x^2) when (x\ge0), choose the correct statement.
Class 12 · Mathematics · Hard
→Is (f:\mathbb{R}\to[-1,1]), where (f(x)=\cos x), onto?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to(-\infty,0]) and (f(x)=-x^2), why is (f) onto?
Class 12 · Mathematics · Hard
→Is the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^3-3x), onto?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to[3,\infty)) and (f(x)=x^2-4x+7), is (f) onto or not?
Class 12 · Mathematics · Hard
→Why is (f:\mathbb{R}\setminus{0}\to\mathbb{R}), where (f(x)=\frac{1}{x}), not onto?
Class 12 · Mathematics · Hard
→If \(f:\mathbb{R}\to\mathbb{R}\) and \(f(x)=x^3\), which statement about (f) is correct?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x-7), why is (f) onto?
Class 12 · Mathematics · Hard
→Is the function (f:\mathbb{R}\to(-\infty,3]), where (f(x)=3-x^2), onto?
Class 12 · Mathematics · Hard
→The function (f:\mathbb{N}\to\mathbb{N}), where (f(n)=n+2), is not onto for which reason?
Class 12 · Mathematics · Hard
→Why is the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^2+1), not onto?
Class 12 · Mathematics · Hard
→If (A) has (6) elements and (B) has (3) elements, what is the number of onto functions from (A) to (B)?
Class 12 · Mathematics · Hard
→For (f:[-\frac{\pi}{2},\frac{\pi}{2}]\to[-1,1]), (f(x)=\sin x), which conclusion is correct?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x+5), why is it not onto?
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\setminus{-2}\to\mathbb{R}\setminus{3}) and (f(x)=\frac{3x+1}{x+2}), choose the correct statement.
Class 12 · Mathematics · Hard
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), what is the correct statement about being onto?
Class 12 · Mathematics · Hard
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