Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.2 - The Natural Exponential Function - 4.2 Exercises - Page 341: 4

Answer

$h(\frac{1}{3}) \approx 0.368$ $h(1.5)\approx0.011$ $h(-1)\approx20.085$ $h(-\pi)\approx12391.648$

Work Step by Step

Using a calculator (To be more specific a scientific calculator) we can simply input the values and calculate approximate value of $h(x)$ as it equals to $e^{-3x}$: $h(x)=e^{-3x}$ $h(\frac{1}{3}) = e^{-\frac{3}{3}} = e^{-1} = \frac{1}{e} \approx 0.368$ $h(1.5)=e^{-4.5}=\frac{1}{e^{4.5}}\approx0.011$ $h(-1)=e^{3}\approx20.085$ $h(-\pi)=e^{3\pi}\approx12391.648$
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