Periodic Functons help

[Romili]

First I'll apologise if this is in the wrong forum and don't mind it being moved.
I have a problem on an A2 maths question, I think C3 if this helps.
The Question is:
The function f is even, periodic with period 2 and, for X 0-1 (can be 0 and 1), f(X)=X. Sketch the graph of f(X) = 1-X
How do I sketch graphs depending on whether they are even/odd, what do do with different periods and the range of values X can take?
I assume the period means I might just duplicate what I have sketched once first but where. On the next values along of the interval? Or do I squeeze 2 into that frame.
The range of values X can be is where I sketch it right? with the values I need being Y values.

 

[skeeter]

The function f is even, periodic with period 2 and, for X 0-1 (can be 0 and 1), f(X)=X.

attached is a possible graph for f(x) as per the above description.

don't know what you mean by \(\displaystyle f(x) = 1-x\) ... perhaps you mean a transformation of \(\displaystyle f(x)\), say \(\displaystyle y = 1-f(x)\) or \(\displaystyle y = f(1-x)\) ?