Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.2 - Exponential Functions - 9.2 Exercises: 1

Answer

C. (0,1)

Work Step by Step

In order to identify which point lies on the graph of $f(x)=3^{x}$, we need to substitute the given ordered pairs into the function. The ordered pair that provides a true statement lies on the graph of this function. Substitute (1,0) in for $f(x)=3^{x}$. 0=3^{1} 0=3 This is a false statement and therefore does not lie on the graph of the function. Substitute (3,1) in for $f(x)=3^{x}$. 1=3^{3} 1=27 This is a false statement and therefore does not lie on the graph of the function. Substitute (0,1) in for $f(x)=3^{x}$. 1=3^{0} 1=1 This is a true statement and does lie on the graph of the function.
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