Explanation Definition used: Even Function: The graph of y = f ( x ) is symmetric with respect to the y -axis if, for every point ( x , y ) on the graph, the point ( − x , y ) is also on the graph that is, f ( − x ) = f ( x ) for all x in the domain of f . Such a function is called even function. Odd Function: The graph of y = f ( x ) is symmetric with respect to the origin if, for every point ( x , y ) on the graph, the point ( − x , − y ) is also on the graph that is, f ( − x ) = − f ( x ) for all x in the domain of f . Such a function is called an odd function. Calculation: To test the given function g ( x ) = 5 x is even, odd, or neither

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

5th Edition

ISBN: 9780134179025

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 4.1, Problem 51E

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To test: Whether the function g(x)=5x is even, odd, or neither.

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Chapter 4.1, Problem 50E

Chapter 4.1, Problem 52E

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For Exercises 61–66, fill in the blanks and determine an equation for f(x) mentally. 6 from x. 62. If function f multiplies x by 2, then f 61. If function f adds 6 to x, then f Function f is defined by f(x) = x + 6, and function f is defined by fx) = -1 by 2. Function f is defined by f(x) = 2x, and function -1 f is defined by f'(x) = 63. Suppose that function f multiplies x by 7 and subtracts 4. Write an equation for f(x). 64. Suppose that function f divides x by 3 and adds 11. Write an equation for f(x). 65. Suppose that function f cubes x and adds 20. Write an equation for f'(x). 66. Suppose that function f takes the cube root of x and subtracts 10. Write an equation for f(x).

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Chapter 4 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - In Exercises 116, (a) sketch the graph of each...Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

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To test: Whether the function g ( x ) = 5 x is even, odd, or neither.

Solution Summary: The author analyzes whether the function g(x)=5x is even, odd, or neither.

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To test: Whether the function g(x)=5x is even, odd, or neither.

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Chapter 4 Solutions