Just one note about analogue multiplexers: they use MOSFETs for switching, so the signal voltage needs to fall within the supply voltage rails. If the signal exceeds either supply rail, then the signal will be distorted and if it's 0.5V outside either rail, then it will become short circuited to the supply, via the IC's static protection diode.
Analog multiplexers can also be made with bipolar transistors in a couple of different ways and they used to even have specially designed "chopper" transistors for this sort of application if bidirectionally was required. MOSFET and bipolar transistor based analog multiplexers are also one of the lower performance options at least as far as bandwidth so there is another way to handle it which uses neither ...
Multiplexer is bidirectional MOSFET switch that can digitaly select RLC components and values for MCU internal clock or filters that other logic cant do.
Some old single beam crt oscillooscope used MUX to make it as dual chanel.
In old oscilloscopes, an analog multiplexer was usually referred to as a channel switch but it was very rare at least initially to use transistors for the switching function because excessive capacitance limits bandwidth. For the same reason, transistors are not suitable for high speed sampling switches. I know of some oscilloscope families which used JFETs for analog multiplexing but only up to 2 MHz or so. Later modern designs with MOSFET based analog multiplexers are not much faster.
The solution was to use diodes. Instead of switching variable voltages, diodes can be used to switch variable currents and this has the advantage that when a diode is off, it can have a very low and controlled capacitance. The forward voltage drop is not a problem if currents are being switched and even that can be handled if pairs of matched diodes are used as seen in diode bridges which are used as very fast analog voltage or current switches. Besides high potential bandwidth, another feature of switching currents instead of voltages is that multiple switches can be activated at once allowing the currents to add together at the output.
Later current based analog multiplexers used bipolar transistors in common base mode as switches which is more amendable to integrated circuit design but I know of some examples where this was done with discrete transistors as well. Some modern bipolar based video multiplexers work this way.
The logic version of this is wired-or logic with open collector/drain outputs and there were also the old DTL (diode transistor logic) families and some of the faster TTL families also use diodes for switching. The slower and original TTL families use bipolar transistors with multiple emitters instead of multiple diodes. Bipolar ECL logic also uses current based transistor switching internally.
It took a long time for MOSFET based analog multiplexers to catch up as far as speed but I think bipolar transistor and diode based analog multiplexers still have an advantage there.
One odd thing I have found about CMOS *and* JFET analog multiplexers is that old ones tend to have poor reliability compared to other ICs. I have no idea why this would be.