2 X (x-4 Answer the following questions about the function whose derivative is f'(x) = ——)E+—6-—) x# -6. a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values? (a) What are the critical points of f? Select the correct choice below and fill in the answer box within your choice. %, x= 0,4 (Use comma to separate answers as needed) X . The function f has no critical points. (b) On what open intervals is f increasing? (-6,0) and (0.4) X (-o0,-6)and (4.00) X (-o0,—-6)and (-6,0) The function f is not increasing. On what open intervals is f decreasing? X . (-6,0)and (0.4) (- o0, - 6)and (4,00) X (0.4) and (4,00) The function is not decreasing. (c) At what points, if any, does f assume local maximum values? X= (Use comma to separate answers as needed.) ¥ . Thereis no local maximum. At what points, if any, does f assume local minimum values? %, x= 4 (Use comma to separate answers as needed.) X There is no local minimum.
