I am wondering how the signal gets amplified in ATF-58143 amplifer. I mean why does a signal input at gate gets amplified at drain. From what I understand in a FET a gate voltage is used to control the current flow from source to drain.
Just pretend it's a bipolar transistor with a really high base impedance. Wiggles on the base (gate) voltage cause wiggles in the drain current, and that causes voltage wiggles across the drain resistor.