Which of the following is the even periodic extension of the function f(x)=3x⁹-x²+x³-4, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Which of the following is the even periodic
extension of the function
f(x)=3x⁹-x²+x³-4, 0≤x≤L with period 2L
g(x)=
g(x)=
g(x)=
g(x)= -
?
-3x+x²-x³-4, 2L <x<0
3x9-x²+x³-4
0≤x<2L
-3x+x²-x³+4, -L<x<0
3x9-x²+x³-4 0≤x≤L
-3x+x²-x³-4, -L<x<0
3x⁹x²+x³-4 0<x<L
3x9-x²+x³+4, -L<x<0
3x9-x²+x³-4 0<x<L
None of them
Transcribed Image Text:Which of the following is the even periodic extension of the function f(x)=3x⁹-x²+x³-4, 0≤x≤L with period 2L g(x)= g(x)= g(x)= g(x)= - ? -3x+x²-x³-4, 2L <x<0 3x9-x²+x³-4 0≤x<2L -3x+x²-x³+4, -L<x<0 3x9-x²+x³-4 0≤x≤L -3x+x²-x³-4, -L<x<0 3x⁹x²+x³-4 0<x<L 3x9-x²+x³+4, -L<x<0 3x9-x²+x³-4 0<x<L None of them
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