【give notice】 —

1. notify or warn a person with regard to smth.:

• I had been given notice that the home I’m living in was going up for sale.

2. dismiss smb. from employment:

• A person who is given notice can easily become demoralized. It takes time to accept the situation….

3. notify the employer about quitting one’s position:

• His cook-boy, who had worked for him twelve years, gave notice that month.

【take notice】 —

1. perceive smth.; pay attention to smth.:

• I did not 【take notice】 that the horse was almost dead when I took him.

2. take smth. seriously; heed smth.:

• I just hope people will 【take notice】 of the warnings and do not drink and drive.