3.2

Determine from the given graph whether the function has any absolute extreme v Q values on (a, b). Then explain how your answer is consistent with the extreme value theorem. 8 \\ (I) Determine whether the function has any absolute extreme values on (a, b). Choose the correct choice below. The function has an absolute minimum value at x = c but does not have an absolute maximum value on (a, b). The function has an absolute maximum value at x = c but does not have an absolute minimum value on (a, b). The function has an absolute maximum value at x = b and an absolute minimum value at X: c on (a, b). 55.097? The function does not have any absolute extreme values on (a, b). Determine from the given graph whether the function has any absolute extreme values on (a, b). Then explain how your answer is consistent with the extreme value theorem. E) Determine whether the function has any absolute extreme values on (a, b). Choose the correct choice below. The function has an absolute minimum at X: c value but does not have an absolute maximum value on (a, b). The function has an absolute maximum value at x = b and an absolute minimum value at x= c on (a. b). The function has an absolute maximum value at x = b but does not have an absolute minimum value on (a, b). The function does not have any absolute extreme values on its domain. 55.095? Determine from the graph whether the function has any absolute extreme y values on [a, b]. Then explain how your answer is consistent with the extreme value theorem. E) Where do the absolute extreme values of the function occur on [a, b]? The absolute maximum occurs at x = d and the absolute minimum occurs at x = a on [a, b]. There is no absolute maximum and the absolute minimum occurs at x = a on [a, b]. There is no absolute maximum and there is no absolute minimum on [a, b]. The absolute maximum occurs at x = d and there is no absolute minimum on [a, b]. PCP-7? Find the absolute extreme values and where they occur. Select the correct choice below and, if necessary, ll in the answer box(es) to complete your choice. The absolute maximum occurs at and the absolute minimum occurs at The absolute minimum occurs at The absolute maximum occurs at 53.057\"? There is no absolute maximum and there is no absolute minimum. sin x At what points is the function y = continuous? 5x + 10 . . . Describe the set of x-values where the function is continuous, using interval notation. (Simplify your answer. Type your answer in interval notation.)\fFind the absolute maximum and minimum values of the following function on the given interval. Then graph the function. 4 f(x)=?x+1,05x51 E Find the absolute maximum value. Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. A- The absolute maximum value occurs at x = (Simplify your answers. Use a comma to separate answers as needed.) {I} B. There is no absolute maximum. Use the given function and the given interval to complete parts a and b. f(x) = 2x3 - 36x2 + 192x on [3.9] a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to conrm your conclusions. Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. _ Find the absolute maximum and minimum values of the following function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur. g(x) = 2x36\Find the function's absolute maximum and minimum values and say where they occur. Select the correct choice below and, if necessary, ll in the answer boxes to complete your choice. (Simplify your answers.) '3'_.3' A- The absolute maximum occurs at x = '3.-.) B- The absolute minimum occurs at X: '35.? C- The absolute maximum occurs at x = and the absolute minimum occurs at x = (j :3 D. There is no absolute maximum and there is no absolute minimum. Determine all critical points for the function. 2 f(x) = 9x + 2x3 @ x=D (Use a comma to separate answers as needed.) Determine all critical points for the following function. 2 32 f(x)=2x + x E x= |:| (Use a comma to separate answers as needed.) Determine the xvalue of all critical points for the following function. X2 The x-value(s) of the critical point(s) of f(x) = x _ 6 islare x= El. (Use a comma to separate answers as needed.) Determine all critical points for the following function. f(x) =X2 108 E) What is the derivative of f(x) = x2 - 108? f'(X) = D