College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 409: 23


See the picture below.

Work Step by Step

By calculating a few pairs and connecting the dots on the graph with a smooth curve, we graph the function. By the laws of exponents: $(\frac{1}{a})^x=a^{-x}$. We transform the function to $\frac{1}{10}^{-x}=10^x$ because it's easier to calculate with this form. A few pairs: $f(-1)=10^{-1}=\frac{1}{10}$ $f(0)=10^0=1$ $f(1)=10^1=10$
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