Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.3 Functions - 2.3 Exercises - Page 219: 96

Answer

(a) $f(8)=24\ units$ (b) increasing from 0 to 2 hr, decreasing from 2 to 12 hr. (c) 2 hr, 64 units. (d) 8 hours (e) See explanations.

Work Step by Step

(a) At 8 hr, read from the curve, we have $f(8)=24\ units$ (b) the level of the drug in the bloodstream was increasing from 0 to 2 hr, decreasing from 2 to 12 hr. (c) the drug in the bloodstream reach its maximum value at about 2 hr with a value of 64 units. (d) From 2 hr (maximum) to 10 hr (16 units), it takes 8 hours additional. (e) Answer may vary. An example could be: the level of the drug increases rapidly from 0 to 2 hours after injection. Then the level decreases slowly over a long period of time from 2 to 12 hours.
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