Question

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?

Answer 1

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