Question

`√(2-2sinx)`

Answer 1

`\mathrm{Domain\:of\:}\:√(2-2\sin \left(x\right))\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:\mathrm{True\:for\:all}\:x\in \mathbb{R}\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}`

`\mathrm{Axis\:interception\:points\:of}\:√(2-2\sin \left(x\right)):\quad \mathrm{X\:Intercepts}:\:\left((\pi )/(2)+2\pi n,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:√(2)\right)`

`\mathrm{Asymptotes\:of}\:√(2-2\sin \left(x\right)):\quad \mathrm{None}`

`\mathrm{Extreme\:Points\:of}\:√(2-2\sin \left(x\right)):\quad \mathrm{Maximum}\left((3\pi )/(2)+2\pi n,\:\sqrt{2-2\sin \left((3\pi )/(2)+2\pi n\right)}\right)`