+ X m125 - Section 4.1 (2021) - Math VA X Feedback for Written Homework webassign.net/web/Student/Assignment-Responses/last?dep=27868347 # 9 Assume f is differentiable and has just one critical point, at x = 3. In parts (a) - (d), you are given additional conditions. In each case decide whether x = 3 is a local maximum, (a) f '(2) = 3 and f'(6) = -2 O x = 3 is a local maximum. O x = 3 is a local minimum O x = 3 is neither a local maximum nor a local minimum. (b) lim f(x) = co and lim f ( x ) = oo x - 00 O x = 3 is a local maximum. O x = 3 is a local minimum O x = 3 is neither a local maximum nor a local minimum. ( c) f( 1) = 3, f( 2) = 4, f(4) = 5, and f(5) = 6 O x = 3 is a local maximum. O x = 3 is a local minimum O x = 3 is neither a local maximum nor a local minimum. (d) f '(2) = -1, f(3) = 1, and lim f(x) = 3 X - 0o O x = 3 is a local maximum. O x = 3 is a local minimum O x = 3 is neither a local maximum nor a local minimum. 8:59 PM O Hi ( ENG Type here to search 10/3/2021 Insert Home End Delete DM O PrtScr ESC KK4 F11 F12 F6 F7 F8 F9 F10 F2 F3 F4 F57. [-/4 Points] DETAILS You are given the graph of the derivative function f '(x) shown below B G f(I) .I H Which of the x-values of the given points are critical points of the function f(x) itself? (Select all that apply.) DA OB OC OD DE OF OG OH OI At which critical point(s) does f(x) have local maxima? (Select all that apply. ) DA OB OC OD DE OF OG OH OI At which critical point(s) does f(x) have local minima? (Select all that apply.) DA OB OC OD DE OF OG OH OI At which critical point(s) does f(x) have neither local maxima nor local minima? (Select all that apply.) DA OB OC OD DE OF OG OH OI Type here to search O8. [-/1 Points] DETAILS You are given the graph of the derivative function f '(x) shown below B G f'(x) .I H E Which of the x-values of the given points are inflection points of the function f(x) itself? (Select all that apply.) DA OB OC OD DE OF OG OH OI 9. [-/1 Points] DETAILS Type here to search