Explanation Given information: The function f ( x ) = sin x − cos 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 x − cos 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 functions sin x and cos x are defined at all real values, , thus the function f ( x ) = sin x − cos 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 ( − ∞ , ∞ )

7th Edition

ISBN: 9781524916817

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

Publisher: Kendall Hunt Publishing

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 1.4, Problem 8PS

To determine

The domain of given function, and to find f(0),f(−π2),f(π) .

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Chapter 1.4, Problem 7PS

Chapter 1.4, Problem 9PS

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Please find the open intervals where the functions are concave upward or concave downward. Find any inflection points also thanks!Note: This is a practice problem!

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Chapter 1 Solutions

Calculus

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The domain of given function, and to find f ( 0 ) , f ( − π 2 ) , f ( π ) .

Solution Summary: The author explains that a function is defined where the function gives real value.

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The domain of given function, and to find f(0),f(−π2),f(π) .

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Chapter 1 Solutions