College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 409: 30


See the picture below.

Work Step by Step

The parent function is $2^x$ (with red) the given function is $2^x-4$ (with blue). For every corresponding x-value the following equation is true: $f(x)-4=g(x)\\$ This means that the graph is translated 4 units down. Here is the table of values of the given function: $f(0)=2^0-4=-3\\$ $f(1)=2^1-4=-2\\$ $f(2)=2^2-4=0\\$ $f(3)=2^3-4=4\\$
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