OK lets try a few pictures.
The attachments are photos taken from an oscilloscope and a spectrum analyser.
They are looking at the output from a signal generator which was running at 3 Mhz.
The first two pictures were taken with the sig gen amplitude modulated by a 5kHz tone.
The second two pictures were take with the sig gen amplitude modulated by audio from a radio (speech and music).
On the spectrum analyser, the large centre peak is the carrier, either side of which can be seen the sidebands, upper sideband to the right (higher frequency), lower sideband to the left (lower frequency).
The scaling on the spectrum analyser is:
vertical 10dB per division
horizontal 5kHz per division (calibration is a bit off!).
With the tone on the spectrum analyser, the small blips at each side of the main components are due to distortion in the audio signal and the modulator in the signal generator.
JimB