1-6 | A function f is given on the interval [, ] and fis periodic with period 2. (a) Find the Fourier coefficients of f. (b) Find the Fourier series of f. For what values of x is f(x) equal to its Fourier series? (c) Graph f and the partial sums S2, S4, and Ss of the Fourier series. 1. f(x) 2. f(x) = 3. f(x) = x 1 if -<x<0 -1 if 0x<# (0 if-x<0 lx if 0 < x <T 4. f(x) = x² if -<x<0 5. f(x) cos x if 0<x< -1 if <x<-#/2 6. f(x) 1 if -1/2 x < 0 0 if 0<x<#