Hi,

Need help with the following question:

f(t) = t - 1, 1<t<2

with an even half range expansion, and f(t)=f(t+4)

Now, I have to sketch this between -6 and 6. Is an "even extension" the same as "even half range expansion"?

If I am to sketch this would it be

a t-1 line from 1<t<2 and 4<t<5

a -t-1 line from -1<t<-2 and -4<t<-5

and 0 elsewhere in -6<t<6

???