Question: Note: If you are asked for value(s), give your answer as a single value (e.g. 17), or a comma separated list (e.g. 1,2,3), or
Note: If you are asked for value(s), give your answer as a single value (e.g. 17), or a comma separated list (e.g. 1,2,3), or NONE. If you are asked for an interval, give your answer in interval notation. Type INF for co and -INF for -8. (*) Suppose that f(x)=x -3x3. (a) List the x-values of all critical points of f(x). 0,9/4 (B) Use interval notation to indicate where f(x) is increasing. (A function is increasing if larger x-values give larger y-values. Don't include points where the function changes from increasing to decreasing, or from decreasing to increasing.) Increasing for in: (9/4,Inf) (C) Use interval notation to indicate where f(x) is decreasing. (A function is decreasing if larger x-values give smaller y-values. Don't include points where the function changes from increasing to decreasing, or from decreasing to increasing.) Decreasing for in: (D) List the x-values of all local maxima of f(x). -values of local maxima = none (E) List the x-values of all local minima of f(x).
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