Explanation Given: The function is f ( x ) = 2 x 4 − 5 x 3 + 12 x 2 − 3 x + 4 . Formula used: A function f is an even function if f ( − x ) = f ( x ) . The graph of an even function is symmetric to y − axis (vertical). A function f is an odd function if f ( − x ) = − f ( x ) . The graph of an odd function is symmetric to origin (rotational). Calculation: The functions is f ( x ) = 2 x 4 − 5 x 3 + 12 x 2 − 3 x + 4 . We can rewrite it as: f ( x ) = ( 2 x 4 + 12 x 2 + 4 ) + ( − 5 x 3 − 3 x ) … (1) Let g ( x ) = 2 x 4 + 12 x 2 + 4 and h ( x ) = − 5 x 3 − 3 x . First, find the function g ( x ) = 2 x 4 + 12 x 2 + 4 is even or odd

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Rate of Change

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Chapter 1.1, Problem 67E

To determine

Write the function in the sum of even and odd function.

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Chapter 1.1, Problem 66E

Chapter 1.1, Problem 68E

Chapter 1 Solutions

CALCULUS (CLOTH)

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

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Write the function in the sum of even and odd function.

Solution Summary: The author explains how to determine whether a function is even or odd.

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Write the function in the sum of even and odd function.

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Chapter 1 Solutions