Consider the following function:(a). Sketch this function. (Without loss of generality, as...

Consider the following function:

(a). Sketch this function. (Without loss of generality, assume that C is greater than B.) Calculate the Fourier transform A(k).

(b). Show that for large k, A(k) is proportional to 1/k.

(c). In general, f(x) is not continuous. Under what condition will it be, and how does A(k) behave at large values of k if this condition holds?

(d). How does a discontinuity in a function affect the. Fourier transform for large values of K?