Consider the function .
For this function there are four important intervals:
, ,, and where
, and are the critical numbers and the
function is not defined at .
Find
and
and
For each of the following intervals, tell whether
is increasing (type in INC) or decreasing (type in DEC).
:
:
:
Note that this function has no inflection points, but we can still consider its concavity.
For each of the following intervals, tell whether
is concave up (type in CU) or concave down (type in CD).
:
: