Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.2 - Exponential Functions - Exercise Set - Page 466: 134

Answer

The red graph: $y=x$ The blue graph: $y=\sqrt{x}$ The green graph: $y=e^x$ The purple graph: $y=\ln x$ The black graph: $y=x^x$ The orange graph: $y=x^2$
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Work Step by Step

Looking at the graphs, we find that the following order holds between the functions from the most slowly to most rapidly increasing:$$\ln x < \sqrt{x} < x < x^2 < e^x < x^x$$
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