I need solve this in 20 minutes

Let : f(x) = x3-6x2+9x+1 f (x) =3x2-12x+9=3(x-3)(x-1) {CLO-3) Fill in the blank of the following questions: 1 ) X = and X= are the critical points of the f(x). 2) f(x) is increasing on the interval(s) *(For ., write infinity. If there is no interval of increase write DNE and if more than one interval, separate them with periods like (a, b); (c, d)). 3) f(x) is decreasing on the interval(s) *(For co, write infinity. If there is no interval of decrease write DNE and if more than one interval, separate them with periods like (a, b); (c, d)). 4) f(x) has a local maximum point(s) at (Write the answer as (a,f(a)). If there is no local maximum, write DNE). 5) f(x) has a local minimum point(s) at *(Write the answer as (a,f(a)). If there is no local minimum, write DNE). 6) f(x) is concave up on the interval(s) *(For ., write infinity. If there is no interval of increase write DNE and if more than one interval, separate them with periods like (a, b); (c, d)). 7) f(x) is concave down on the interval(s) (For ., write infinity. If there is no interval of increase write DNE and if more than one interval, separate them with periods like (a, b); (c, d)). 8) f(x) has an inflection point(s) at *(Write the answer as (a,f(a)). If there is no inflection point, write DNE)