Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 2 - Derivatives - 2.5 The Chain Rule - 2.5 Exercises - Page 158: 55

Answer

Because f(0)$\lt$0 and f(1)$\gt$0, there exists a value "c" such that f(c) = 0 on the interval.

Work Step by Step

Firstly, set the equation equal to zero. 0=$e^{x}$+2x-3 The given set of points, (0,1) tells us which values of x we are going to plug in. Solve for f(0) and f(1), f(0)= -2 = negative number f(1) = positive number Therefore, because f(0)$\lt$0 and f(1)$\gt$0, there exists a value "c" such that f(c) = 0 on the interval.
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