which is the graph of the inverse secant function?

Brief Explanations:

The inverse secant function (y = \text{arcsec}(x)) has a domain (|x|\geq1) and range ([0,\frac{\pi}{2})\cup(\frac{\pi}{2},\pi]). Its graph has two branches, one in the first - quadrant for (x\geq1) and one in the second - quadrant for (x\leq - 1). The first graph matches these characteristics as it has two branches, one for (x\geq1) with (y\in[0,\frac{\pi}{2})) and one for (x\leq - 1) with (y\in(\frac{\pi}{2},\pi]).

Answer:

The first graph.