2. For each of the following functions y(x), find its Fourier transform ÿ(k), and then

sketch graphs of y(x) and ÿ(k). (In cases where the Fourier transform y(k) is complex,

sketch graphs of its real part and its imaginary part separately.)

(a) y(x) = C, where C is a real constant.

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(b) y(x) = B8(x-xo), where B and zo are real constants, and 6(z) is the Dirac delta

function.

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(c) y(x)= Fe-², where F and a are positive real constants.

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