8 0/1 point above is the graph of: f(x) = arccos x f(x) = arctan x f(x) = arcsin x f(x) = arcsec x none of…

8 0/1 point above is the graph of: f(x) = arccos x f(x) = arctan x f(x) = arcsin x f(x) = arcsec x none of these.

8 0/1 point above is the graph of: f(x) = arccos x f(x) = arctan x f(x) = arcsin x f(x) = arcsec x none of these.

Answer

Brief Explanations:

The graph of $y = \arctan x$ has a horizontal - asymptote as $x\to\pm\infty$, with a range of $(-\frac{\pi}{2},\frac{\pi}{2})$, and passes through the origin $(0,0)$. The graph of $y=\arccos x$ has a domain of $[- 1,1]$ and range of $[0,\pi]$. The graph of $y = \arcsin x$ has a domain of $[-1,1]$ and range of $[-\frac{\pi}{2},\frac{\pi}{2}]$ but has different end - behavior compared to $\arctan x$. The function $y=\arcsec x$ has a domain of $(-\infty,-1]\cup[1,\infty)$ and a range of $[0,\frac{\pi}{2})\cup(\frac{\pi}{2},\pi]$. The given graph matches the general shape and behavior of $y = \arctan x$.

Answer:

f(x) = arctan x