In 1998, sammy sosa of the chicago cubs and mark mcguire of the st. louis cardinals were engaged in a race to break the all-time major league baseball single-season home run record set in 1962 by roger maris of the new york yankees. the number of home runs sosa hit in 1998 can be modeled by the piece wise function where h is the cumulative number of home runs hit and g is the number of games played.