Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.3 - Exponential Functions - Exercise Set - Page 863: 61


The graph of an exponential function $y=b^x$ contains the point of $(1,b)$ since 1 is in the domain of the function (ie. all real numbers). When $x=1$, $y=b$. Thus, the graph of the function contains the point $(1,b)$.

Work Step by Step

When $x=1$ is substituted into the function, $y=b^1$, which is equivalent to $y=b$. Thus, $(1,b)$ is a point on the graph of the function $y=b^x$.
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