Graubart was in the Second City comedy troupe, appearing in the Chicago mainstage cast in the mid- to late 1960s with comic actors such as Fred Willard, Peter Boyle, Richard Libertini, Bob Dishy and Robert Klein.
She was also a regular on Comedy Tonight, which aired during the summer of 1970 on CBS, along with Peter Boyle, Barbara Cason, Madeline Kahn, Robert Klein, and Jerry Lacy.
Graubart's fellow Second City actor Bob Dishy co-stars as the husband of Wallach's ultimate kidnap victim, Anne Jackson.
Graubart played hundreds of characters on the show during The Electric Company's original six-year run, with Jennifer of the Jungle being one of the most notable.
Throughout her career, Graubart was also a familiar face in television commercials for products such as the Chevrolet Vega, Cheer, Crunch 'n Munch, Shake 'n Bake and Miracle Whip.