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Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph. X2 f(X) = n Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 'i' A- The critical number(s) of the function are x= (Use a comma to separate answers as needed.) 0 B. There is no solution. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. 'i' A- The function is increasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) if B. There is no solution. Select the correct choice below and, if necessary, ll in the answer box to complete your choice. A- The function is decreasing on (Type your answer using interval notation. Use a comma to separate answers as needed.) '1 B. There is no solution. Which statement regarding the local extrema of the function is true? 0 A. The function has a local minimum at x = 4 and a local maximum atx =0. C" B. The function has a local minimum at x = 0 and a local maximum at x = 4. g. C. The function has no local extrema