What does the underlined Modal express in the following sentence?

Can I give you a lift?

offer

The modal "can" in the sentence "Can I give you a lift?" expresses OPTION 2 offer.

Here's why:

• Capability: While "can" can indicate ability, here it's more about a willingness to do something for someone else, not just possessing the skill.
• Request: The sentence isn't asking for permission or a favor from the other person, so it's not a request.
• Permission: The speaker isn't seeking approval for their own action, but rather extending a gesture of assistance.