Answer the following questions for the function f(x) = -4x-12x + 180x-14. Enter f(x), f'(x), and f''(x) into your grapher to examine the table. b. The formula for the first derivative f'(x) can be factored. Set f'(x) = 0 to find the two critical numbers. Hint: You can factor out -12 from all terms in the formula for f'(x). You can also scroll the table function on your calculator. The critical values are x = -5,3. (Use a comma to separate answers as needed.) c. Use your table to complete the following. At the negative critical value listed in part b, what does your table tell you about the value of the second derivative? f' f" (-5)=96 (Type integers or simplified fractions.) Consequently, what can be concluded about the graph of f? Select the correct choice below and, if necessary, fill in the answer boxes within your choice. OA. The graph of f is concave down and f has a relative maximum at ( OB. The graph of f is concave down and f has a relative minimum at OC. The graph of f is concave up and f has a relative maximum at ( OD. The graph of f is concave up and f has a relative minimum at ( OE. No conclusion can be made. 1).