Is the adapter design pattern for change of input only or change of input and/or output?

1. If I am correct, the adapter design pattern changes a class or function to have a different interface. Does that mean that it changes a class or function

   • to accept a different type of input only, or
   • to accept a different type of input, and/or to provide a different type of output?

2. I saw "wrapper" is used to describe a case of changing a function to provide a different type of output.

   Is "wrapper" a design pattern?

   What is the difference a wrapper and an adapter?

Thanks.