On a Smart Phone or Tablet
After you tap on the Join a Meeting button you will be presented with this screen:
If you have an account on Zoom, sign in and go to Settings then tap on the top section where your email is and then tap the Display Name and edit it.
On a Computer
After you tap on the Join a Meeting button you will be presented with this screen:
If you are on a computer and you already have an account sign in on Zoom’s website and navigate to your profile https://zoom.us/profile, click edit on the far right in the first section and you will be presented with the screen below: