Explanation Given: f ( x ) = x 4 − x Calculation: The expression for f(x) is defined when x 4 − x ≥ 0 ∴ 0 ≤ x < 4 Therefore, the domain of f is the interval [ 0 , 4 ) . Also 0 ≤ f ( x ) < ∞ . So the range of f is the interval [ 0 , ∞ ) . We choose the viewing rectangle so that the x - interval is somewhat larger than the domain and the y-interval is larger than range. Here, taking the viewing rectangle to be [-1, 5] by [ − 1 , ∞ ) , we plot the graph as given below:

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Chapter 1.5, Problem 9E

To determine

The viewing rectangle for the function f(x)=x4−x that clearly displays the vertical and horizontal asymptotes

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Chapter 1.5, Problem 8E

Chapter 1.5, Problem 10E

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Chapter 1 Solutions

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Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E Ch. 1.1 - Prob. 11E Ch. 1.1 - Prob. 12E Ch. 1.1 - Prob. 13E Ch. 1.1 - Prob. 14E Ch. 1.1 - Prob. 15E Ch. 1.1 - Prob. 16E Ch. 1.1 - Prob. 17E Ch. 1.1 - Prob. 18E Ch. 1.1 - Prob. 19E Ch. 1.1 - Prob. 20E Ch. 1.1 - Prob. 21E Ch. 1.1 - Prob. 22E Ch. 1.1 - Prob. 23E Ch. 1.1 - Prob. 24E Ch. 1.1 - Prob. 25E Ch. 1.1 - Prob. 26E Ch. 1.1 - Prob. 27E Ch. 1.1 - Prob. 28E Ch. 1.1 - Prob. 29E Ch. 1.1 - Prob. 30E Ch. 1.1 - Prob. 31E Ch. 1.1 - Prob. 32E Ch. 1.1 - Prob. 33E Ch. 1.1 - Prob. 34E Ch. 1.1 - Prob. 35E Ch. 1.1 - Prob. 36E Ch. 1.1 - Prob. 37E Ch. 1.1 - Prob. 38E Ch. 1.1 - Prob. 39E Ch. 1.1 - Prob. 40E Ch. 1.1 - Prob. 41E Ch. 1.1 - Prob. 42E Ch. 1.1 - Prob. 43E Ch. 1.1 - Prob. 44E Ch. 1.1 - Prob. 45E Ch. 1.1 - Prob. 46E Ch. 1.1 - Prob. 47E Ch. 1.1 - Prob. 48E Ch. 1.1 - Prob. 49E Ch. 1.1 - Prob. 50E Ch. 1.1 - 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The viewing rectangle for the function f ( x ) = x 4 − x that clearly displays the vertical and horizontal asymptotes

Solution Summary: The author determines the viewing rectangle for the function f(x)=x4-x, which clearly displays the vertical and horizontal asymptotes.

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The viewing rectangle for the function f(x)=x4−x that clearly displays the vertical and horizontal asymptotes

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Chapter 1 Solutions