College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 454: 89

Answer

False.

Work Step by Step

False. If they have the same graph then for each value of $a,b$, $f(a+b)=f(a)+f(b)$. But for $a=2,b=3$: $f(a+b)=2^{2+3}=2^5=32\ne12=4+8=2^2+2^3=f(a)+f(b)$
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