71. Defining Aresecant The range of the secant function is (−∞,−1]∪[1,∞), which must become the domain of the arcsecant function. The graph of y=arcsecx must therefore be the union of two unbroken curves. Two possible graphs with the correct domain are shown below.
(a) The graph on the left has one horizontal asymptote. What is it?
(b) The graph on the right has two horizontal asymptotes. What are they?
(c) Which of these graphs is also the graph of y=cos−1(1/x) ?
(d) Which of these graphs is increasing on both connected intervals?