'Using amplifiers' means when the transfer characteristic of an amplifier is turned into a Vin vs time graph or Vout vs time graph. And also some other stuff which I am having a hard time getting my head around.
I'll give you a very simple explanation of amplifiers to give you a starting point so you can then ask questions.
In simple (and slightly inaccurate) terms, amplifiers increase the voltage of an electronic device. So, for example, when the sound coming from a speaker is too small, an amplifier can be used to increase this volume. How amplification works is not on the VCE course, so don't read into too much of the transistor stuff.
Therefore, you have three graphs: a Vin vs time graph (before the device is amplified), a Vout vs time graph (after the device is amplified) and a Vout vs Vin graph.
A Vout vs Vin graph gives you the corresponding values of Vout and Vin. Basically, what an input voltage amplifies to.
When you look at a Vout vs Vin graph, there are parts where the line has a constant gradient and other parts where it is horizontal. The part where the gradient is constant is called the linear region. This is the region where the amplifier actually amplifies the signal. Beyond this, you will reach a horizontal line, meaning that the
output signal no loner increases/decreases proportionally to the input signal, hence it is no longer being amplified, hence it has been 'clipped'.