Sketch the graph of the following function and determine whether the function has any absolute extreme values on its domain. Explain how your answer is consistent with the extreme value theorem. x, 2::x=:1 gilt}: x3. 1sst Sketch the graph of the function gfx}. Choose the correct graph below. OA. OB. 0c. Determine whether the function has any absolute extreme values on its domain. Choose the correct answer below. O A. The function has an absolute maximum value at x: 1 but does not have an absolute minimum value on its domain. 0 B. The function has an absolute maximum value at x: 1 and an absolute minimum atx= 0 on its domain. 0 C. The function has an absolute minimum at x: 0 value but does not have an absolute maximum value on its domain. 0 D. The function does not have any absolute extreme values on its domain. Explain the results in terms of the extreme value theorem. O A. Since the function g is not continuous on a closed interval, it mayr or may not have any absolute extreme values on its domain. O B. Since the function g is continuous on an open interval, it may or may not have any absolute extreme values on its domain. O C. Since the function g is not continuous on an open interval, it does not attain any absolute extreme values on its domain. 0 D. Since the function g is continuous on a closed interval, it attains both an absolute maximum value and an absolute minimum value on its domain. Identify the coordinates of any local and absolute extreme points and inection points. Graph the function. y=4x+41l cos x, Osxsh' Identify the coordinates of the local maximum points. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The local maximum pointts} islare E. (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using :r: as needed.) O B. There are no local maximum points. Identify the coordinates of the local minimum points. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The local minimum point(s) isfare El. (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using :r: as needed} 0 B. There are no local minimum points. Identify the coordinates of the absolute maximum points. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The absolute maximum point(s} islare |:|. (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using :r: as needed.) O B. There are no absolute maximum points. Identify the coordinates of any absolute minimum points. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 0 A- The absolute minimum pointts) isfare E. (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using it as needed.) 0 B. There are no absolute minimum points. Find the inection points. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. O A- The inection point(s) isfare |:. (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using it as needed.) 0 B. There are no inflection points. Choose the correct graph below. DA. DE. 38 y a 38 y 9* a a a a o .; 3' o ;; '3' 9,9