The graph of the function is symmetrical about the line

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The graph of the function y=f(x)y=f(x) is symmetrical about the line x=2x=2. Then (1) f(x)=−f(−x)f(x)=-f(-x) (2) f(2+x)=f(2−x)f(2+x)=f(2-x) (3) f(x)=f(−x)f(x)=f(-x) (4) f(x+2)=f(x−2)f(x+2)=f(x-2)

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