There is also a symbol for this type of transistors. This symbol resembles the one for the point-contact transistor but they are not identical. The names of the electrodes also differ. In the FET the electrodes are called source-gate-drain and as you might remember they are called emitter-base-collector in the point-contact transistor.
Both the point-contact transistor and the MOSFET can be used for the same purposes. The two main uses of any transistor are as a modulator/amplifier and as a switch.