Reading power supply value in the datasheet ; -0.3 V to 6 V ? ; Unclear
The chart you show are absolute maximum ratings. You should never exceed these, or damage to your device is expected. It doesn't mean that the device will operate at those values.
For example, a supply voltage of 0 will not damage your device. But the device won't operate at that supply voltage either. However, a supply voltage more negative than -0.3V may be expected to damage the device.