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 − 43 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?
2011 -10 -25 10:52:10
1/3
Quiz 4 solutions.pdf (#3)
(e) Find the local maxima, local minima, and horizontal points of inflection of f .
(f) Sketch the graph of f (x).
6
5
4
3
2
1
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
-1
-2
-3
-4
-5
-6
Page 2
2011 -10 -25 10:52:10
2/3
Quiz 4 solutions.pdf (2/3)
2011 -10 -25 10:52:10
3/3
Quiz 4 solutions.pdf (3/3)