The correct answers are:
Duke Ellington
Benny Goodman
Explanation:
Key figures of swing and the big band era include names like Duke Ellington (1899-1974) who wrote over 1,000 jazz pieces and had a famous traveling band. Also, the "King of Swing," Benny Goodman (1909-1986), did much to popularize the style with his weekly radio shows and the first-ever big band performance at Carnegie Hall.