Transfer function $F(x) = x^5$

Create a 1 second long 220 Hz sinusoid input $x$ and plot the output $y = x^5$ in Matlab:

fs = 44100;
nT = 0:1/fs:1;
x = sin(2*pi*220*nT);
y = x.^5;

Figure 9: Output spectrum of the transfer function $y = x^5$, where $x$ is a unit amplitude sinusoid at a frequency of 220 Hz.