Explanation Given information: The function f ( x ) = cos x − sin 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 The zero of a function f ( x ) are values of x for which f ( x ) = 0 Calculation: To determine the domain of f ( x ) = cos x − sin 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 Since, the function cos x and sin x are defined for every real number hence, the given function will also be defined for every real number Thus, the function will always give a real value for every real value. So, domain of the given function is ( − ∞ , ∞ ) Now, to find values of f ( − π ) , f ( π / 2 ) , f ( π ) put x = − π , x = π / 2 , and x = π

6th Edition

ISBN: 9781465208880

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

Publisher: Kendall Hunt Publishing

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Question

Chapter 1, Problem 19SP

To determine

The domain of the function

f(x)=cosx−sinx

And to determine f(−π),f(π/2),f(π) and determine whether any of these values are zeroes of the function

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Chapter 1, Problem 18SP

Chapter 1, Problem 20SP

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Chapter 1 Solutions

Calculus

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The domain of the function f ( x ) = cos x − sin x And to determine f ( − π ) , f ( π / 2 ) , f ( π ) and determine whether any of these values are zeroes of the function

Solution Summary: The author explains the domain of the function f(x)=mathrmcosx-

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The domain of the function

f(x)=cosx−sinx

And to determine f(−π),f(π/2),f(π) and determine whether any of these values are zeroes of the function

Want to see the full answer?

Chapter 1 Solutions

The domain of the function f ( x ) = cos x − sin x And to determine f ( − π ) , f ( π / 2 ) , f ( π ) and determine whether any of these values are zeroes of the function

Solution Summary: The author explains the domain of the function f(x)=mathrmcosx-

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The domain of the function f(x)=cosx−sinx And to determine f(−π),f(π/2),f(π) and determine whether any of these values are zeroes of the function

Want to see the full answer?

Chapter 1 Solutions

The domain of the function

f(x)=cosx−sinx

And to determine f(−π),f(π/2),f(π) and determine whether any of these values are zeroes of the function