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Why can I access my home wifi network when my router is unplugged?

I recently noticed a strange behaviour with my home wifi network and I can’t find any answers on the internet. I tried calling my internet provider but he could not answer any of my questions. I would really appreciate it if someone could help me out on this.

  • when I am connected to my home wifi network and if I unplug my wifi router, somehow my phone keeps the wifi connection alive. I can still access the internet using my home wifi network even if my router is unplugged. How is this possible ?
  • when I changed my wifi router’s credentials (both SSID and password, with a reboot after saving those changes), my friend’s phone did not ask him for the new credentials for a week. He still had access to my wifi network even if I had changed my entire router configuration. Why ?