Answer
See graph and explanations.
Work Step by Step
1. Given $y=cos^{-1}(x)$, we have $x=cos(y)$, thus $y=cos(x)$ is the inverse or the original function.
2. Graph $y=cos(x)$ (blue) and use the symmetry around $y=x$ to graph $y=cos^{-1}(x)$ (red).
3. We can find three points on $y=cos^{-1}(x)$ with coordinates $(1,0),(0,\frac{\pi}{2}),(-1,\pi)$
4. We can identify the domain of $y=cos^{-1}(x)$ as $[-1,1]$ and range as $[0,\pi]$
