**Problem : **
On the graph below, find the local and absolute extrema on the interval
[*a*, *b*]

**Problem : **
Find the critical points of
*f* (*x*) =
*x*
^{3} + *x*
^{2}

**Problem : **
Does
*f* (*x*) =
*x*
^{3} + *x*
^{2}
have an absolute maximum?

**Problem : **
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 : **
Do absolute extrema always count as local extrema?