A periodic function f(t) is defined by 0, t <-TC t + TT, - < t < 0 f(t) = TT-t, 0 TT (a) Sketch f(t) over the domain -311 < t < 31. [10] [5] (b) State, with reasons, whether f(t) is odd, even, or neither. (c) Show that the Fourier transform of f(t) is given by 2(1 – cos wt) f(w) = [85] w2