$[-/6\mathrm{.}66$ Points$]$

LARCALC$125\mathrm{.}7\mathrm{.}069.$

Analyze and sketch a graph of the function. Identify any relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. $($If an answer does not exist, enter DNE.$)$

$f(x)=arcsec(4x)$

maximum

$(x,y)=(,)$

minimum

$(x,y)=$

horizontal asymptote

$y=$