mathcalc
posted by mkcolema .
for x (12, 10) the function f is defined:
f(x)=x^7(x+2)^2
On which two intervals is the function increasing (enter intervals in ascending order)?
Find the region in which the function is positive
Where does the function achieve its minimum?

it's turning points are when
[1] x*7 = 0 or x = 0
[2] (x+2)^2 = 0 or x  2
The graph is increasing when
(12 to 2) and (0 to 10)
To work this out find the turning points by finding f'[x]=0
ok hope that helps