Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 660: 74

Answer

See explanation below.

Work Step by Step

A function of the form $y=A\log_{b}t+C$, with positive coefficients A and C, is an always rising function, but it has a value $t_{0}$ for which $y=0.$ Left of that (for values lower than $t_{0}$), the graph is below the x-axis, meaning that negative values can be obtained for y. Owning $-23\%$ of the market makes no sense, so backward extrapolation is not appropriate.
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