Chapter 5: Q.3TF (page 463)
The function \(f(x)=\sec^{-1}x\).
(a) List the domain and range.
(b) Sketch a labeled graph.
(c) Discuss the domains and ranges in the context of the unit circle.
Short Answer
(a)
Domain: \((-\infty,-1]\cup[1,\infty)\)
Range: \(\left[0,\frac{\pi}{2}\right)\cup\left(\frac{\pi}{2},\pi\right]\)
(b) The graph is shown.
(c) The domain and range are explained in the steps.