Page 1 of 3 ZOOM + solutions from websites, classmates, or other sources is considered plagiarism. Plagiarism will result in a 0 and being reported for academic dishonesty! Assignment: (30 points) 1. f(x) = x3 - 6x2 - 15x - 8 a) (4 pts) Identify the critical points of f (x). b) (4 pts) Create a first derivative sign chart. c) (2 pts) What are the increasing and decreasing intervals of f (x)? d) (2 pts) What are the coordinates of any maxima and minima? Make sure to identify each coordinate as either max or min.Page 2 of 3 ZOOM + e) (4 pts) Determine using a second derivative sign chart intervals on which the function is concave up and concave down. Make sure to clearly state the intervals using interval notation. f) (2 pts) Determine the inflection points of the function. g) (6 pts) Use the information from a- f to graph the function. Label all important points