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Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+x^2+1), why is (f) not onto?
Class 12 · Mathematics
→For (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5+x), what is the correct analysis for onto property?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax^2+1), which statement is true?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=ax+b), when will (f) be onto?
Class 12 · Mathematics
→If (h\circ g:A\to C) is onto, which statement must definitely be true?
Class 12 · Mathematics
→If (g:A\to B) and (h:B\to C) are both onto, which statement about (h\circ g:A\to C) is correct?
Class 12 · Mathematics
→If (g:\mathbb{R}\to[0,\infty)), (g(x)=x^2) and (h:[0,\infty)\to[1,\infty)), (h(t)=t+1), what is (h\circ g:\mathbb{R}\to[1,\infty))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{x^3-x}), then (f) is onto because
Class 12 · Mathematics
→Why is (f:\mathbb{R}\to[-1,1]), (f(x)=\frac{2}{\pi}\tan^{-1}x), not onto?
Class 12 · Mathematics
→If \(f:\mathbb{R}\to(-1,1)\), \(f(x)=\frac{2}{\pi}\tan^{-1}x\), is (f) onto or not?
Class 12 · Mathematics
→For \(f:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}\), \(f(x)=\tan x\), what preimage of \(y\in\mathbb{R}\) proves onto property?
Class 12 · Mathematics
→If \(f:\left[0,\frac{\pi}{2}\right]\to[-1,1]\), \(f(x)=\sin x\), why is (f) not onto?
Class 12 · Mathematics
→For (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), choose the correct statement.
Class 12 · Mathematics
→Why is (f:\mathbb{R}\to\mathbb{Z}), (f(x)=\lceil x\rceil), onto?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor+x), which statement about onto property is correct?
Class 12 · Mathematics
→For (f:(0,\infty)\to[2,\infty)), (f(x)=x+\frac{1}{x}), what is the correct statement?
Class 12 · Mathematics
→If (f:(0,\infty)\to(0,\infty)), (f(x)=x+\frac{1}{x}), why is (f) not onto?
Class 12 · Mathematics
→The function (f:(0,\infty)\to\mathbb{R}), (f(x)=x-\frac{1}{x}), is onto because
Class 12 · Mathematics
→If (f:[1,\infty)\to[0,\infty)), (f(x)=x^2-1), what is the correct reason for onto property?
Class 12 · Mathematics
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