Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 4

Answer

$g(-2) \approx 0.644$ $g(\sqrt3) \approx 26.888$ $g(3.6) \approx 174.098$

Work Step by Step

$Use$ $a$ $calculator$ $to$ $find$ $the$ $indicated$ $values$ $of$ $the$ $exponential$ $function,$ $rounded$ $to$ $three$ $decimal$ $places:$ $g(x) = \frac{7}{4}e^{x+1}; g(-2), g(\sqrt3), g(3.6)$ a.) $g(x) = \frac{7}{4}e^{x+1}; g(-2)$ Plug in -2 for x $$g(-2) = \frac{7}{4}e^{-2+1}$$ Use a calculator to evaluate $$g(-2) = 0.6437890220500241$$ Round to 3 decimal places $$g(-2) \approx 0.644$$ b.)$g(x) = \frac{7}{4}e^{x+1}; g(\sqrt3)$ Plug in $\sqrt3$ for x $$g(\sqrt3) =\frac{7}{4}e^{\sqrt3+1} $$ Use a calculator to evaluate $$g(\sqrt3) = 26.8876371510795562$$ Round to 3 decimal places $$g(\sqrt3) \approx 26.888$$ c.)$g(x) = \frac{7}{4}e^{x+1}; g(3.6)$ Plug in 3.6 for x $$g(3.6) = \frac{7}{4}e^{3.6+1}$$ Use a calculator to evaluate $$g(3.6) = 174.0975523733840625$$ Round to 3 decimal places $$g(3.6) \approx 174.098$$
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