Explanation Given: f ( x ) = 8 x + 1 8 x − 4 Calculation: The expression for f(x) is defined when 8 x + 1 8 x − 4 ≥ 0 ∴ − ∞ < x ≤ − 1 8 a n d 1 2 < x < ∞ Therefore, the domain of f is the interval ( − ∞ , − 1 8 ] ∪ ( 1 2 , ∞ ) . Also − ∞ ≤ f ( x ) ≤ ∞ . So the range of f is the interval [ 0 , ∞ )

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 1.5, Problem 8E

To determine

The appropriate viewing rectangle for the function f(x)=8x+18x−4 and also find the vertical and horizontal asymptotes.

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Chapter 1.5, Problem 7E

Chapter 1.5, Problem 9E

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Chapter 1 Solutions

Calculus - Standalone book

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The appropriate viewing rectangle for the function f ( x ) = 8 x + 1 8 x − 4 and also find the vertical and horizontal asymptotes.

Solution Summary: The author explains how to determine the appropriate viewing rectangle for the function f(x)=12 and find the vertical and horizontal asymptotes.

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The appropriate viewing rectangle for the function f(x)=8x+18x−4 and also find the vertical and horizontal asymptotes.

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Chapter 1 Solutions