Explanation Given: f ( x ) = 1 + 3 x 2 − x 4 Concept Used: A function f ( x ) is said to be an even functionif: f ( − x ) = f ( x ) ∀ x A function f ( x ) is said to be an odd functionif: f ( − x ) = − f ( x ) ∀ x Calculation: To determine whether the function f ( x ) = 1 + 3 x 2 −

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Differential Equations

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Chapter 1.1, Problem 71E

To determine

To find whether the function given below is even, odd or neither

f(x)=1+3x2−x4

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Chapter 1.1, Problem 70E

Chapter 1.1, Problem 72E

Chapter 1 Solutions

Biocalculus

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

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LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.
OTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the view of a speaker and those of an audience increase to a point but decrease when the discrepancy becomes too large particular if the communicator is viewed by the audience as having low credibility, Suppose that the degree of change can be approximated by the function D(x)=x4+8x3+80x2 Where x is the discrepancy between the view of the speaker and those of the audience as measure by score on a question-naira. Find the amount of discrepancy the speaker should aim for to maximize the attitude change in the audience. Source: Journal of Personality and Social Psychology.

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To find whether the function given below is even, odd or neither f ( x ) = 1 + 3 x 2 − x 4

Solution Summary: The author explains that the function f(x) is an even function if it satisfies the condition of an odd function.

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To find whether the function given below is even, odd or neither

f(x)=1+3x2−x4

Want to see the full answer?

Chapter 1 Solutions

To find whether the function given below is even, odd or neither f ( x ) = 1 + 3 x 2 − x 4

Solution Summary: The author explains that the function f(x) is an even function if it satisfies the condition of an odd function.

Concept explainers

Videos

To find whether the function given below is even, odd or neither f(x)=1+3x2−x4

Want to see the full answer?

Chapter 1 Solutions

To find whether the function given below is even, odd or neither

f(x)=1+3x2−x4