QUESTION 4 Determine if the function shown below is an even or odd function, and what is the coresponding sine or cosine series representation of the function? f(x) = O Even O Odd /(x) O Odd x+1 -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 56E
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QUESTION 41
Determine if the function shown below is an even or odd function, and what is the coresponding sine or cosine series representation of the
function?
f(x) =
O Even
f(x)
O Odd
x+1 -1<x<0
x-1
0<x< 1
O Odd
f(x) =-
00
Ⓒ Even
nel n²x²
f(x) =
=-
2(-1) ²-2
1
3
00
2
f(x) Σ Ξsin(n=c)
AU
2
00
41
de
2
A=1
-cos(x)
12月2
+ sin(x)
na
-cos(nлx)
Transcribed Image Text:QUESTION 41 Determine if the function shown below is an even or odd function, and what is the coresponding sine or cosine series representation of the function? f(x) = O Even f(x) O Odd x+1 -1<x<0 x-1 0<x< 1 O Odd f(x) =- 00 Ⓒ Even nel n²x² f(x) = =- 2(-1) ²-2 1 3 00 2 f(x) Σ Ξsin(n=c) AU 2 00 41 de 2 A=1 -cos(x) 12月2 + sin(x) na -cos(nлx)
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