Explanation Given information: The function f ( x ) = sin ( 1 − 2 x ) Concept Used: The domain of a function is a set of input or argument values for which the function is defined. And value of a function f ( x ) at a point c is determined x = c by putting in that function. Calculation: To determine the domain of f ( x ) = sin ( 1 − 2 x ) , we have to look for the points where this function is defined. According to definition of a function, a function is defined where the function gives real value. In this case as the function sin x is defined at all real values, and ( 1 − 2 x ) also gives a real value for every real value x, thus the function f ( x ) = sin ( 1 − 2 x ) is also defined at all real values Now the maximum value that the function can take as input is ∞ whereas the minimum value that the function can take as input is − ∞ . So, domain of the given function is ( − ∞ , ∞ )

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 7PS

To determine

The domain of given function, and to find f(−1),f(12),f(1) .

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Chapter 1.4, Problem 6PS

Chapter 1.4, Problem 8PS

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Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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The domain of given function, and to find f ( − 1 ) , f ( 1 2 ) , f ( 1 ) .

Solution Summary: The author explains that a function is defined where the function gives real value. To determine the domain of f(x)=mathrmsin(1-2x), we have

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The domain of given function, and to find f(−1),f(12),f(1) .

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Chapter 1 Solutions