Good evening all,

I have this question,

f(t) is defined on the interval 0 ≤ t < 2 by f(t) = t(2 − t).

a) sketch the odd extension of f for -6≤ t ≤ 6, and state the fundamental period of this extension.

b) sketch the even extension for -6≤ t ≤ 6 and state the fundamental period of this extension.

The graph I have ended up with doesn't seem right, as a t=0, it is 0, t=1 it is 1, t=2 it is 0, and then as I plot up to t=6, i end up getting -24, is this completely wrong? should I just repeat the 0,1,0 pattern? I also can't figure out my fundamental periods.

Hope someone can help.

Thank you.