Let [math]. Find (a) the intervals on which [math] is increasing, (b) the intervals on which [math] is decreasing, (c) the open intervals on which [math] is concave up, (d) the open intervals on which [math] is concave down, and (e) the [math]-coordinates of all inflection points.

(a) [math] is increasing on the interval(s)
(b) [math] is decreasing on the interval(s)
(c) [math] is concave up on the open interval(s)
(d) [math] is concave down on the open interval(s)
(e) the [math] coordinate(s) of the points of inflection are

Notes: In the first four boxes, your answer should either be a single interval, such as [0,1), a comma separated list of intervals, such as (-inf, 2), (3,4], or the word "none".

In the last box, your answer should be a comma separated list of [math] values or the word "none".