Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Review - Exercises: 2

Answer

$f(-2.2) \approx 0.653$ $f(\sqrt7) \approx 18.775$ $f() \approx 135.765$

Work Step by Step

$Use$ $a$ $calculator$ $to$ $find$ $the$ $indicated$ $values$ $of$ $the$ $exponential$ $function,$ $rounded$ $to$ $three$ $decimal$ $places:$ $f(x) = 3\times2^x; f(-2.2), f(\sqrt 7), f(5.5)$ a.) $f(x) = 3\times2^x; f(-2.2)$ Plug in -2.2 for x $$f(-2.2) = 3\times2^{-2.2}$$ Use a calculator to evaluate $$f(-2.2) = 0.6529129224720931$$ Round to 3 decimal places $$f(-2.2) \approx 0.653$$ b.)$f(x) = 3\times2^x; f(\sqrt7)$ Plug in $\sqrt7$ for x $$f(\sqrt7) = 3\times2^{\sqrt7}$$ Use a calculator to evaluate $$f(\sqrt7) = 18.774646146124059$$ Round to 3 decimal places $$f(\sqrt7) \approx 18.775$$ c.)$f(x) = 3\times2^x; f(5.5)$ Plug in 5.5 for x $$f(5.5) = 3\times2^5.5$$ Use a calculator to evaluate $$f(5.5) = 135.7645019878171247$$ Round to 3 decimal places $$f() \approx 135.765$$
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