Consider the function f(x)=18ex22\displaystyle {f{{\left({x}\right)}}}={18}{e}^{{-\frac{{x}^{{2}}}{{2}}}}.

f(x)\displaystyle {f{{\left({x}\right)}}} has two inflection points at x = C and x = D with CD\displaystyle {C}\leq{D}
where C\displaystyle {C} is  
and D\displaystyle {D} is  

Finally for each of the following intervals, tell whether f(x)\displaystyle {f{{\left({x}\right)}}} is concave up (type in CU) or concave down (type in CD).
(,C]\displaystyle {\left(-\infty,{C}\right]}:
[C,D]\displaystyle {\left[{C},{D}\right]}:
[D,)\displaystyle {\left[{D},\infty\right)}