Suppose the function A$($x$)=0\mathrm{.}003317$x$^3-0\mathrm{.}04657$x$^2+0\mathrm{.}1991$x$+0\mathrm{.}008$ approximates the blood alcohol concentration in a$$ person's bloodstream x hours after drinking $2$ ounces of alcohol on an empty$$ stomach, for x in the interval $[0,6].$

$($a$)$ Determine the$$ interval$($s$),$ if$$ any, on which the blood alcohol concentration is increasing. Select the correct choice below$$ and, if$$ necessary, fill in the answer box to complete your choice.