Read the data sheet for the individual mux circuit to see its useful range.
The CD4051 CMOS mux can switch voltages between the power pins Vdd (positive) and Vee (negative), while the logic control signals are between Vss (ground) and Vdd.
There are limits on the three supply voltages: see
https://www.ti.com/lit/ds/symlink/cd4051b.pdf?ts=1732830697816&ref_url=https%253A%252F%252Fwww.mouser.at%252FA DG508 also operates with an analog voltage between the supply rails, typically +15 V and -15V, which is a higher operating supply voltage than the CD4051. There is also a "GND" pin for the digital control.
https://www.analog.com/media/en/technical-documentation/data-sheets/dg508a-dg509a.pdfThe "GND" or Vss pins on these devices are not actually power pins, but reference inputs for the digital control.
Be careful about power supply sequencing: if the positive supply turns on while the negative supply is a high impedance (such as a 7905 negative regulator with low input voltage), the device may "latch up" and self-destruct.
To avoid this, caused by the GND pin being more negative than the negative power input due to current flowing from the positive supply into the high impedance temporarily present on the negative power pin, one should add a Schottky diode from the positive and negative pins on the IC to ground (normally reverse biased). A conventional PN diode can sustain enough voltage to latch up the circuit.
(Ask me if I learned this the easy way or the hard way.)