Chapter 4.1, Problem 9ES

A sign chart is presented for the first and second derivatives of a function $f$ . Assuming that $f$ is continuous everywhere, find: (a) the intervals on which $f$ is increasing, (b) the intervals on which $f$ is decreasing, (c) the open intervals on which $f$ is concave up, (d) the open intervals on which $f$ is concave down, and (e) the x-coordinates of all inflection points.