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: 23

Answer

See graph and explanation

Work Step by Step

The green graph is that of $e^x$ (a) The graph is shifted to the right by two units (b) Multiplication by a negative number means reflecting in the x-axis. Multiplication by a number whose magnitude is less than one means vertical shrinkage. So a vertical shrink followed by reflecting in x-axis happens, (c)Changing x by -x means reflection in y-axis and adding 3 means vertically shifting the graph upwards by 3 units
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