Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.2 - The Derivative as a Function - Exercises 3.2 - Page 116: 33

Answer

See graph and explanations.

Work Step by Step

Step 1. We need to calculate the slope value for each line segment. The good thing is that all the line segments have a horizontal distance of $1$ year. Step 2. Read the vertical values and find the slope: for 2005-2006, $m_1=5.4-6.4=-1$, Step 3. Repeat the process for other line segments to get: $m_2=0.2$ for 2006-2007, $m_3=-4.5$ for 2007-2008, $m_4=0.5$ for 2008-2009, $m_5=1.9$ for 2009-2010, and $m_2=-0.2$ for 2010-2011. Step 4. Graph the above results as shown in the figure (re-scale the x-axis with x'=x-2000 and start with x'=5).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.