Question

Which set consists of key points on \[y=\sin^{-1}x\]?

Options

• \[(-1,-\pi)\], \[(0,-\frac{\pi}{2})\], and \[(1,0)\]

• \[(-1,0)\], \[(0,\frac{\pi}{2})\], and \[(1,\pi)\]

• \[(-1,\pi)\], \[(0,\frac{\pi}{2})\], and \[(1,0)\]

• \[(-1,-\frac{\pi}{2})\], \[(0,0)\], and \[(1,\frac{\pi}{2})\]

Answer 1

For \[y=\sin^{-1}x\], the endpoint inputs \[-1\] and \[1\] correspond to \[-\frac{\pi}{2}\] and \[\frac{\pi}{2}\]. The graph also passes through the origin \[(0,0)\].