Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 3

Answer

$g(-0.7) \approx 0.269$ $g(1) \approx 1.472$ $g(\pi) \approx 12.527$

Work Step by Step

$Use$ $a$ $calculator$ $to$ $find$ $the$ $indicated$ $values$ $of$ $the$ $exponential$ $function,$ $rounded$ $to$ $three$ $decimal$ $places:$ $g(x) = 4e^{x-2}; g(-0.7), g(1), g(\pi)$ a.) $g(x) = 4e^{x-2}; g(-0.7)$ Plug in -0.7 for x $$g(-0.7) = 4e^{-0.7-2}$$ Use a calculator to evaluate $$g(-0.7) = 0.26882205095899904$$ Round to 3 decimal places $$g(-0.7) \approx 0.269$$ b.)$g(x) = 4e^{x-2}; g(1)$ Plug in 1 for x $$g(1) = 4e^{1-2}$$ Use a calculator to evaluate $$g(1) = 1.4715177646857693$$ Round to 3 decimal places $$g(1) \approx 1.472$$ c.)$g(x) = 4e^{x-2}; g(\pi)$ Plug in $\pi$ for x $$g(\pi) = 4e^{\pi-2}$$ Use a calculator to evaluate $$g(\pi) = 12.5270087669943172$$ Round to 3 decimal places $$g(\pi) \approx 12.527$$
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