Use the graph of y = f(x), assuming f"(x) > 0 if x = b or d and f"(x) 0. Choose the correct answer below. O A. (a,b);(d,e);(g,h) O B. (a,b);(e,g) O c. (d,e);(g,h) O D. (b,c);(c,e);(g,h) O E. (a,c);(c,d);(e,g) OF. (a,c);(c,e);(g,h) O G. (e,g) OH. f"'(x) SO over (a,h) (E) Identify intervals on which f'(x) is increasing. Choose the correct answer below. O A. (b,c);(c,e);(g,h) O B. (a,b);(e,g) O c. (a,b);(d,e);(9,h) O D. (e,g) O E. (d,e);(9,h) O F. (a,c);(c,d);(e,g) O G. (a,c);(c,e);(g,h) O H. f'(x) is never increasing on (a,h)(F) Identify intervals on which f'(x) is decreasing. Choose the correct answer below. O A. (a,c);(c,d);(e,g) O B. (b,c);(c,e);(g,h) O C. (a,b);(e,g) O D. (a,c);(c,e);(g,h) O E. (e,g) OF. (d,e);(g,h) O G. (b,c);(c,d);(e,g) O H. f'(x) is never decreasing on (a,h)Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f{x) is decreasing, and the local extrema. Do not graph. X2 x-5 HI) = Select the correct choice below and, if necessary, fill in the answer box to complete your choice. '33" A- The critical number(s) of the function are x = (Use a comma to separate answers as needed.) C." B. There is no solution. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. '5'.-.-" A- The function is increasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) '1'.) B. There is no solution. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. '13-" A- The function is decreasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) (:5 B. There is no solution. Which statement regarding the local extrema of the function is true? (:5 A. The function has a local minimum at x = 0 and a local maximum at x = 10. '12." B. The function has a local minimum at x =10 and a local maximum at x= 0. (:5 C. The function has no local extrema