Answer:
Only one because even if you tried to put a length different each time, it will only stay the same shape, it never changes.
Assuming ya mean

take derivitive
remember dy/dx e^x=e^x
also the chain rule
so

find where it equals 0


multiply both sides by e^x

divide both sides by 8

take ln of both sides


divide both sides by 9

x≈-1/5
f'(-1)<0
f'(0)>0
so it is increasing from x to infinity
the interval it is increasing on is