Explanation Given Information: The provided function is f ( x ) = { − cos x if − π ≤ x < 0 − sin x if 0 ≤ x < π sin x if π ≤ x ≤ 2 π . Graph: Consider the function, f ( x ) = { − cos x if − π ≤ x < 0 − sin x if 0 ≤ x < π sin x if π ≤ x ≤ 2 π Consider the first piece of the function, f ( x ) = − cos x for − π ≤ x < 0 . Find the value of f ( x ) = − cos x at different values of x for − π ≤ x < 0 and form a table. x f ( x ) = − cos x − π f ( − π ) = − cos ( − π ) = − 1 ( − 1 ) = 1 − π 2 f ( − π 2 ) = − cos ( − π 2 ) = 0 0 f ( 0 ) = − cos ( 0 ) = − 1 Consider the second piece of the function, f ( x ) = − sin x for 0 ≤ x < π . Find the value of f ( x ) = − sin x at different values of x for 0 ≤ x < π and form a table. x f ( x ) = − sin x 0 f ( 0 ) = − sin ( 0 ) = 0 π 2 f ( π 2 ) = − sin ( π 2 ) = − 1 π f ( π ) = sin ( π ) = 0 Consider the third piece of the function, f ( x ) = sin x for 0 ≤ x < π

13th Edition

ISBN: 9781269417358

Author: Blitzer

Publisher: PEARSON C

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Chapter 11.3, Problem 36PE

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To graph: The function f(x)={−cosx if −π≤x<0−sinx if 0≤x<πsinx if π≤x≤2π and give the numbers for which the function is discontinuous.

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Chapter 11.3, Problem 35PE

Chapter 11.3, Problem 37PE

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To graph: The function f ( x ) = { − cos x if − π ≤ x < 0 − sin x if 0 ≤ x < π sin x if π ≤ x ≤ 2 π and give the numbers for which the function is discontinuous.

Solution Summary: The author analyzes the function f(x)=l-mathrm

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To graph: The function f(x)={−cosx if −π≤x<0−sinx if 0≤x<πsinx if π≤x≤2π and give the numbers for which the function is discontinuous.

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Chapter 11 Solutions

To graph: The function f ( x ) = { − cos x if − π ≤ x &lt; 0 − sin x if 0 ≤ x &lt; π sin x if π ≤ x ≤ 2 π and give the numbers for which the function is discontinuous.

Solution Summary: The author analyzes the function f(x)=l-mathrm

Concept explainers

Videos

To graph: The function f(x)={−cosx if −π≤x<0−sinx if 0≤x<πsinx if π≤x≤2π and give the numbers for which the function is discontinuous.

Want to see the full answer?

Chapter 11 Solutions

To graph: The function f ( x ) = { − cos x if − π ≤ x < 0 − sin x if 0 ≤ x < π sin x if π ≤ x ≤ 2 π and give the numbers for which the function is discontinuous.