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Math 1100-006 Quiz 4 30 September, 2011 Answer the questions in the spaces provided. If you run out of room for an answer, you may continue on the back. Show all of your work. Round answers as appropriate (dollar amounts to the nearest penny, and quantities to whole numbers where logical). Include units when necessary. Name: 1. Let f (x) = 15 x5 − 34 x3 . (a) Find the critical values of f . (b) Find the critical points of f . (c) On which intervals is f increasing? (d) On which intervals is f decreasing? (e) Find the local maxima, local minima, and horizontal points of inflection of f . (f) Sketch the graph of f (x). Page 2