For the listed functions A) through D), do the following: • Plot the function f(x) and its magnitude |f(x)]. Compute the Fourier transform of f(x): g(k) = 1 /27 Le f(x) e-ikix dat (1) • Compute and plot the magnitude |g(k)| as a function of k. • For each function and its transform, think about (but do not compute!) Parseval's Theorem: [*_ \g(k) ³²dk = f*_ \ƒ(x)|²dx Based on your drawings of the function and its Fourier transform, which side of Parseval's theorem would be easier to compute? A) f(x) = e-|x|

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