To feel concern or interest; attach importance to something. She cares deeply about the environment and works hard to protect it.
To look after and provide for the needs of someone or something. He cares for his elderly parents with great dedication.
To have a liking, fondness, or taste for something. I don't care for spicy food, so I'll pass on the chili.
To be willing or inclined (usually followed by an infinitive). Would you care to join us for dinner?