Prove that f(x) = (x- 1)2 + (x + 1)? is an even function. A function k(x) is an even function if Choose... v Choose... f(x) is an k(x)=k(-x) odd function as f(x) =- f(-x)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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M15

Prove that f(x) = (x – 1)² + (x + 1)² is an even function.
A function k(x) is an even function if
Choose...
v Choose...
f(x) is an
k(x)=k(-x)
odd function as f(x) =-
f(-x)
even function as f(x)=f(-x)
k(x)=-k(-x)
Transcribed Image Text:Prove that f(x) = (x – 1)² + (x + 1)² is an even function. A function k(x) is an even function if Choose... v Choose... f(x) is an k(x)=k(-x) odd function as f(x) =- f(-x) even function as f(x)=f(-x) k(x)=-k(-x)
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