The domain of the function f(x)=3x62\displaystyle {f{{\left({x}\right)}}}=\sqrt{{-{3}{x}-{62}}} consists of one or more of the following intervals: (,A]\displaystyle {\left(-\infty,{A}\right]} and [A,)\displaystyle {\left[{A},\infty\right)}.
Find A\displaystyle {A}  
For each interval, answer YES or NO to whether the interval is included in the solution.
(,A)\displaystyle {\left(-\infty,{A}\right)}
(A,)\displaystyle {\left({A},\infty\right)}