Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 4 - Section 4.1 - Exponential Functions - 4.1 Exercises - Page 337: 47

Answer

See the graphs below, with the increasing c values, the function rises faster, see more explanations below.

Work Step by Step

1. We first draw graphs of $y=c\cdot 2^x$ with $c= 0.25, 0.5, 1, 2, 4$ as shown in the figure with a series of curves. 2. We compare these curves and find that with the increasing $c$ values, the functions grow with increasing rate, which means that $y=4\cdot 2^x$ rises much faster than $y=0.25\cdot 2^x$ as can be seen from the figure.
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