Instant signal frequency change on amplifier
Any instant change to an input signal will produce a series of harmonics that will far exceed the capabilities of any amplifier. This means that an instantaneous change might produce an output of a decaying, ringing oscillation or a sluggish waveform that didn't follow the input exactly.

If you have a specific circuit example then this can be run through a simulator to demonstrate what happens.


  The amplifier ranges from 2300 MHz to 2500 MHz


The devil is in the detail.