Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises - Page 352: 18

Answer

$y\text{ is an increasing function.}$
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Work Step by Step

The graph of $\frac{1}{2}e^x$ is just like the graph of $e^x$ squished on the vertical axis. At large negative values of x, the output (y-value) is very close to zero while the function grows without bounds as x assumes arbitrarily large values. The y-intercept is $f(0) = \frac{1}{2}$
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