Explanation Given: The function is: a. f ( x ) = x 5 b. g ( t ) = t 3 − t 2 c. F ( t ) = 1 t 4 + t 2 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: We have to find the function is odd or even. Part a: The functions is f ( x ) = x 5 . f ( − x ) = ( − x ) 5 = − x 5 = − f ( x ) Hence, the function f ( x ) = x 5 is odd. Part b: The functions is g ( t ) = t 3 − t 2

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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Question

Chapter 1.1, Problem 65E

To determine

a. Find the function is even, odd or neither.

b. Find the function is even, odd or neither.

c. Find the function is even, odd or neither.

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Chapter 1.1, Problem 64E

Chapter 1.1, Problem 66E

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Chapter 1 Solutions

EBK CALCULUS

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a. Find the function is even, odd or neither. b. Find the function is even, odd or neither. c. Find the function is even, odd or neither.

Solution Summary: The author explains how to determine whether a function is even, odd, or neither.