Question

Does this have an absolute minimum?
f(x)=4(x^2−1)^3, [−1,2]

Answer 1

Extreme value theorem

http://mathworld.wolfram.com/ExtremeValueTheorem.html

in that article, when they mention "minimum" they really mean "absolute minimum"

a local min is possible, but it will always have a absolute min

Answer 2

Right, I was able to find the absolute max. at (2,108) but I couldn't find any abs min

Answer 3

Ohh wait! I just found it! It's at (0,-4)

Answer 4

yes (0,-4) is the absolute min

Answer 5

Thanks so much!! Sorry, I just realized the answer!

Answer 6

no problem