Question: 6. [-/6 Points] DETAILS MY NOTES Let f(x) be a continuous function which satisfies the following conditions. f(0) = 4; f(4) = 2; f(7) =

6. [-/6 Points] DETAILS MY NOTES Let f(x) be a continuous function which satisfies the following conditions. f(0) = 4; f(4) = 2; f(7) = 6 f'(0) = f'(4) = 0 f' ( x) > 0 if | x - 21 > 2 f' ( x) 0 if |x - 4| 7 (a) Find the intervals on which f is increasing. (Enter your answer as a comma-separated list of intervals. ) (b) Find the intervals on which f is decreasing. (Enter your answer as a comma-separated list of intervals.) (c) Find the largest open intervals on which fis concave up. (Enter your answer as a comma-separated list of intervals.) (d) Find the largest open intervals on which f is concave down. (Enter your answer as a comma-separated list of intervals. ) (e) Identify all local maxima and minima. (Enter your answers as comma-separated lists.) local maxima local minima

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