8 multiple choice 1 point above is the graph of: f(x) = arccos x f(x) = arctan x f(x) = arcsin x f(x) =…

Explanation:

Step1: Recall domain and range of inverse - trig functions

The domain of (y = \arccos x) is ([- 1,1]) and range is ([0,\pi]). The domain of (y=\arctan x) is ((-\infty,\infty)) and range is ((-\frac{\pi}{2},\frac{\pi}{2})). The domain of (y = \arcsin x) is ([-1,1]) and range is ([-\frac{\pi}{2},\frac{\pi}{2}]). The domain of (y=\arcsec x) is ((-\infty,-1]\cup[1,\infty)) and range is ([0,\frac{\pi}{2})\cup(\frac{\pi}{2},\pi]).

Step2: Analyze the given graph

The graph has a domain of ((-\infty,\infty)) and seems to be bounded between two horizontal asymptotes. The function (y = \arctan x) has a domain of ((-\infty,\infty)) and is a smooth - increasing function with horizontal asymptotes (y=-\frac{\pi}{2}) and (y = \frac{\pi}{2}). The other functions (\arccos x) and (\arcsin x) have restricted domains ([-1,1]), and (\arcsec x) has a domain ((-\infty,-1]\cup[1,\infty)).

Answer:

B. (f(x)=\arctan x)