Problem 3.1:
On the graph below, find the local and absolute extrema on the interval
[a, b]
Problem 3.2:
Find the critical points of
f (x) = 
x3 + x2
Problem 3.3:
Does
f (x) = x3 + x2 have an absolute maximum?
Problem 3.4:
The Extreme Value Theorem doesn't apply to continuous functions on open intervals, but
could such a function have both an absolute minimum and an absolute maximum on that
open interval?
Problem 3.5:
Do absolute extrema always count as local extrema?
