Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.3 - Exponential Functions - Exercise Set: 70

Answer

We know that the graph of an exponential function $y=b^{x}$ has a y-intercept of $(0,1)$ because $y=f(0)=b^{0}=1$.

Work Step by Step

The graph of an exponential function $y=b^{x}$ has a y-intercept of $(0,1)$ because $y=f(0)=b^{0}=1$. In other words, the exponential function contains this point, because the value of a nonzero real number $b$ raised to the power of 0 is equal to 1. Therefore, the graph of an exponential function $y=b^{x}$ crosses the y-axis at a value of $y=1$.
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