(a) Explanation It is given that, the function is f ( x ) = 2 − 2 x − x 3 . It is known that, the line y = L is an horizontal asymptote of the curve if lim x → ∞ f ( x ) = L and the line x = a is a vertical asymptote if one of the following is true (b) To determine The interval of increase or decrease. (c) To determine The local maximum and minimum values. (d) To determine The intervals of concavity and the inflection point. (e) To determine The graph of the function f ( x ) = 2 − 2 x − x 3 .

Essential Calculus: Early Transcendentals

2nd Edition

ISBN: 9781133112280

Author: James Stewart

Publisher: Cengage Learning

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Chapter 4, Problem 9RE

(a)

To determine

The vertical and horizontal asymptotes.

(b)

To determine

The interval of increase or decrease.

(c)

To determine

The local maximum and minimum values.

(d)

To determine

The intervals of concavity and the inflection point.

(e)

To determine

The graph of the function f(x)=2−2x−x3.

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Chapter 4, Problem 8RE

Chapter 4, Problem 10RE

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Chapter 4 Solutions

Essential Calculus: Early Transcendentals

Ch. 4.1 - Explain the difference between an absolute minimum...Ch. 4.1 - Suppose f is a continuous function defined on a...Ch. 4.1 - For each of the numbers a, b, c, d, r, and s,...Ch. 4.1 - For each of the numbers a, b, c, d, r, and s,...Ch. 4.1 - Use the graph to state the absolute and local...Ch. 4.1 - Use the graph to state the absolute and local...Ch. 4.1 - Sketch the graph of a function f that is...Ch. 4.1 - 710 Sketch the graph of a function f that is...Ch. 4.1 - 710 Sketch the graph of a function f that is...Ch. 4.1 - 710 Sketch the graph of a function f that is...

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The vertical and horizontal asymptotes.

Solution Summary: The author explains that the function is f(x)=2-2x-x 3 and the interval of increase or decrease.

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The vertical and horizontal asymptotes.

The interval of increase or decrease.

The local maximum and minimum values.

The intervals of concavity and the inflection point.

The graph of the function f(x)=2−2x−x3.

Want to see the full answer?

Chapter 4 Solutions