Let . Find (a) the intervals on which is increasing, (b) the intervals on which is decreasing, (c) the open intervals on which is concave up, (d) the open intervals on which is concave down, and (e) the -coordinates of all inflection points.
(a) is increasing on the interval(s)
(b) is decreasing on the interval(s)
(c) is concave up on the open interval(s)
(d) is concave down on the open interval(s)
(e) the 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 values or the word
"none".
You can earn partial credit on this problem.