If g(x) is a function s.t. g(x)=g(x+π) for all x and g(x)=│x-(π/2)│ for all x∈[0,π] .
Show g(x)=g(-x)
Simple Function Question
2009-01-23 4:04 am
回答 (1)
2009-01-23 4:45 am
✔ 最佳答案
Obviously, g(x) is a function with the period of π.g(x + π) = │(x + π) - (π/2)│
= │x + π/2│
= │-(x + π/2)│ (For absolute sign exists.)
= │-x - π/2│
= g(-x)
Since g(x + π) = g(x)
We have shown that g(x) = g(-x).
參考: Myself~~~
收錄日期: 2021-04-22 00:33:37
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