To value something or someone and feel or show gratitude for it; to recognize its full worth. I appreciate the effort you put into this project.
To understand a situation fully; grasp the full implications of something. She didn't appreciate the complexity of the problem until she started working on it.
To increase in value over time. The house has appreciated significantly since we bought it.
Used to make a polite request or express that something would be welcome or desirable. I would appreciate it if you could arrive a few minutes early.