(a) Find the critical points, if any, of the following function on the given interval.(b) Use a graphing device to determine whether the critical points correspond to local maxima, local minima, or neither.(c) Find the absolute maximum and minimum values on the given interval.4f(x)= 6x-24x-93x+360x +28, [-5,5](a) Find the critical points, if any, of f(x) on [- 5,5]. Select the correct choice below and, if necessary, fill in the answer box to complete 'your choice.O A. The critical point(s) occur(s) at x=(Type an integer or a decimal. Use a comma to separate answers as needed.)O B. There are no critical points for f(x) on [-5,5].(b) Use a graphing device to determine whether the critical points correspond to local maxima, local minima, or neither. Identify all local maxima, if any, of f(x). Select the correct choice belowand, if necessary, fill in the answer box to complete your choice.O A. There is a local maximum at x=(Type an integer or a decimal. Use a comma to separate answers as needed.)O B. There are no local mmaxima.Identify all local minima, if any, of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. There is a local minimum at x=(Type an integer or a decimal. Use a comma to separate answers as needed.)O B. There are no local minima.Identify all critical points that are neither a local maximum nor a local minimum, if any, of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The point at x=is neither a local maximum nor a local minimum.(Type an integer or a decimal. Use a comma to separate answers as needed.)O B. Each critical point is either a local maximum or local minimum.(c) Determine the absolute extreme values of f(x) on [-5,5]. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.O A. The absolute maximum isat x =and the absolute minimum isat x =(Type integers or decimals. Use a comma to separate answers as needed)O B. There are no absolute extreme values for f(x) on [- 5,5].

Given: The function, fx=6x4-24x3-93x2+360x+28 and the interval -5,5 (a.) To find: The critical…

(a) Find the critical points, if any, of the following function on the given interval. (b) Use a graphing device to determine whether the critical points correspond to local maxima, local minima, or neither. (c) Find the absolute maximum and minimum values on the given interval. f(x) = 6x - 24x -93x +360x + 28;[ - 5,5] (a) Find the critical points, if any, of f(x) on [- 5,5] Select the correct choice below and, if necessary, fill in the answer box to complete'your choice O A. The critical point(s) occur(s) at x= (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no critical points for f(x) on [-5,5]. (b) Use a graphing device to determine whether the critical points correspond to local maxima, local minima, or neither. Identify all local maxima, if any, of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is a local maximum at x= (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no local maxima Identify all local minima, if any, of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. There is a local minimum at x= (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. There are no local minima Identify all critical points that are neither a local maximum nor a local minimum, if any, of f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The point at x= is neither a'local maximum nor a local minimum. (Type an integer or a decimal. Use a comma to separate answers as needed.) O B. Each critical point is either a local maximum or local minimum. (c) Determine the absolute extreme values of f(x) on [- 5,5]. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice O A. The absolute maximum is and the absolute minimum is at x= at x= (Type integers or decimals. Use a comma to separate answers as needed.) O B. There are no absolute extreme values for f(x) on [-5,5].