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: 62

Answer

The exponential function $y=b^x$ has a y-intercept of $(0,1)$ because the y-intercept always has an x-value of 0 (ie. at the y-axis). When $x=0$, $y=1$, thus $(0,1)$ is the y-intercept.

Work Step by Step

When $x=0$ is substituted into the function: $y=b^0=1.$ Thus, $(0,1)$ is the y-intercept. Alternatively, the function can be graphed and $(0,1)$ can be seen to be the point where the graph crosses the y-axis.
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