Explanation Given: The graph of the function f ( x ) is: Formula used: A function f is an even function if f ( − x ) = f ( x ) . The even function is symmetrical about y − axis (vertical). A function f is an odd function if f ( − x ) = − f ( x ) . The odd function is symmetrical about the origin (rotational). Calculation: The graph of the function f ( x ) is: According the graph, the values of the function f ( x ) is: f ( 0 ) = 0 , f ( 1 ) = 2 , f ( 2 ) = 4 , f ( 3 ) = 2 , f ( 4 ) = 4 Find the points to draw the graph of the interval [ − 4 , 0 ] . Put x = 0 in the given function. − f ( − x ) = 0 Put x = − 1 in the given function

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 1.1, Problem 76E

To determine

Extend the graph of f to [−4,4] so that it is an odd function.

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Chapter 1.1, Problem 75E

Chapter 1.1, Problem 77E

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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Extend the graph of f to [ − 4 , 4 ] so that it is an odd function.

Solution Summary: The author explains the graph of the function f(x).

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Extend the graph of f to [−4,4] so that it is an odd function.

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Chapter 1 Solutions