9.) For the function f(x)=x^3-6x²+9x-8:
a.) intervals of increasing and decreasing
(derivative, critical points)
3x²-12x+9
(x-3)(x-1)

Inc (-inf,1) U (3,inf)
dec (1,3)

b.) Intervals of concave up and concave down
f''(x) > when x<2
<0 when x>2

Concave up when (-inf,2)
Concave down when (2,inf)

c.) all local extrema
f'(c)=0
f''(c)>local min
f''(c) < 0 local max

(1,-4) local max
(3,-8) local min)

d.) All inflection points



e.) graph the function