For y=(1/4)x^4-(2/3)x^3+(1/2)x^2-3 find the exact intervals on which the function is:

a) increasing

b) decreasing

c) concave up

d) concave down

Then find any

e) local extreme values

f) inflection points

I graphed this and came up with the following answers:

a) (0, infinity)

b) ( -infinity, 0)

c) (-infinity, infinity)

d) none

e) Min: -3 at x=0

Max: none

f) none

Does that look right?