Explanation Given: f x = x 3 + cos ⁡ x Approach: For any function f x , If f - x = - f ( x ) then the function is odd. If f - x = f ( x ) then the function is even. If f - x ≠ - f x o r f - x ≠ f x then the function is neither even nor odd. Calculation: f x = x 3 + cos ⁡ x Substituting ( - x ) instead of x f - x = ( - x )

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN: 9781305071742

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.2, Problem 77E

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Whether the functions fx=x3+cos⁡x is even, odd or neither.

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Chapter 6.2, Problem 76E

Chapter 6.2, Problem 78E

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Whether the functions f x = x 3 + cos ⁡ x is even, odd or neither.

Solution Summary: The author explains that the functions f(x)=X3+mathrmcosx are neither an even function nor an odd function.

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To find:

Whether the functions fx=x3+cos⁡x is even, odd or neither.

Want to see the full answer?

Chapter 6 Solutions

Whether the functions f x = x 3 + cos ⁡ x is even, odd or neither.

Solution Summary: The author explains that the functions f(x)=X3+mathrmcosx are neither an even function nor an odd function.

Concept explainers

Videos

To find: Whether the functions fx=x3+cos⁡x is even, odd or neither.

Want to see the full answer?

Chapter 6 Solutions

To find:

Whether the functions fx=x3+cos⁡x is even, odd or neither.