Definition of a Function. A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair. Okay, that is a mouth full.
Master cylinder without booster. Single bore master cylinders: These unboosted hydraulic Master Cylinders are actuated by foot effort, via the brake pedal. The brake pressure is related to actuation force and depends on the piston bore size: the smaller the bore, the higher the pressure.
A brake booster is an enhanced master cylinder setup used to reduce the amount of pedal pressure needed for braking. It employs a booster set up to act with the master cylinder to give higher hydraulic pressure to the brakes and/or lower force applied on the brake pedal through a brake booster push-rod.