Date: 09/21/22 Course: BUS 2801: 07 ON_BUSINESS Assignment: Homework 4 CALCULUS I 1. The graph of y = f(x) is shown to the right. Identify the intervals on which f(x) is decreasing. g h Which of the following shows every interval on which f(x) is decreasing? Choose the correct answer below. O A. (c,e), (f,g) O C. (b,d), (f,g) 2. Find (A) f'(x), (B) the partition numbers for f', and (C) the critical numbers of f. f(x) =x5 -12x + 8 (A) f' (x) = (B) Find the partition numbers for f'. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The partition number(s) is/are x = (Use a comma to separate answers as needed.) O B. There are no partition numbers. (C) Find the critical numbers for f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The critical number(s) is/are x = (Use a comma to separate answers as needed.) O B. There are no critical numbers.10. Use I'Hopital's rule to find the limit. Use - co or co when appropriate. 3x + 5 lim X- 0 4x + 6 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3x + 5 O A. lim = X-00 4x + 6 (Type an exact answer in simplified form.) O B. The limit does not exist.5. Match the indicated conditions with one of the graphs (A)-(D) shown below. 13. f'(x) > 0 and f''(x) > 0 on (a,b) 14. f'(x) > 0 and f"(x) 0 on (a,b) 16. f'(x)