Consider the function f(x) = 5x3-30x On what intervals is f increasing or decreasing? If there are no intervals of a given type, enter 'none'. Otherwise, see problem 4 of homework 1 for a reminder of how to enter intervals. In particular, if there is more than one interval, separate them with a capital 'U" for union. fincreases on decreases on NOTE: If a function is increasing on an open interval and an endpoint of the interval is in the domain of the function, then it is preferable to say that the interval where the function is increasing INCLUDES the endpoint. For example, if f is increasing on (1,2) and 1 and 2 are in the domain of f, then it is better to say that f is increasing on 1,2 List the r-values of all points at which f attains local maximum and minimum values. If there is more than one of a given type, give a comma-separated list. If there are no local extrema of a given type, enter 'none Local maxima occur at X-1-2M1/2) Local minima occur at 2 1 /2) Which of the local extrema are also absolute extrema? List the r-values of all points at which f attains absolute extreme values. If there is more than one of a given type give a comma-separated list. If there are no local extrema of a given type, enter'none' Absolute maxima occur at T Absolute minima occur at paper, graph the function. Mark on your graph the intervals where the function is increasing/decreasing and the points at which the function attains On a separate sheet of extreme values. Do not turn in this graph.