Consider the function [math]. For this function there are two important intervals: [math] and [math] where the function is not defined at [math]. Determine [math].

[math]

For each of the following intervals, tell whether [math] is increasing (input INC ) or decreasing (type in DEC ).

[math]:
[math]:  

Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether [math] is concave up (input CU ) or concave down (type in CD ).

[math]:
[math]: