Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.3 Use Functions Involving e - 7.3 Exercises - Skill Practice - Page 496: 45

Answer

The graph is attached.

Work Step by Step

$e$ is a number, so we will use the same process as in section 7.1. We first note the shape of the graph of $e^x$, which is on page 493. Thus, we start with this shape for our graph. If the function is in the form $e^x$, we are done. However, if it is in the form $ae^{rk-h}+k,$ we shift the graph h units right and k units up. (Note, $a$ and $r$ change the steepness of the graph.) The domain is all real numbers, and the range is all values greater than -1.
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