Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.5 - Continuity - 2.5 Exercises - Page 124: 9


a. The Graph b. The Discontinuities change when the prices go up or down. In this problem the prices of the toll change from $5$ dollars to $7$ dollars, then vice versa. These changes happen during $7$ AM, $10$ AM, $4$ PM and $7$ PM. The function is continuous beside these four x-points.

Work Step by Step

To draw the graph, we create a graph where the x-axis is the time in hours from $(0$ to $24)$ and the y-axis is the cost of the toll in this case it's $5$ and $7$ dollars. So we write in the intercepts where the toll is worth $5$ dollars and where the toll is $7$ dollars. The intercepts for $5$ dollars are: $(0,5), (7,5)$ $(10,5), (16,5)$; $16$ in this case means $4$ PM $(19,5), (24,5)$; $19$ in this case means $7$ PM The intercepts for $7$ dollars are: $(7,5), (10,5)$; $(16,7), (19,7)$; $19$ in this case means $7$ PM (Dots with the same color on the graph should be considered connected with a straight horizontal line.)
Small 1508867297
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.