If fungoes are a ball tossed into the air by a batter and then struck as it comes down then a fungo bat is a baseball bat used for hitting fungoes. To go into more detail, a fungo bat is a long, lightweight baseball bat used by coaches (or parents) during pregame hitting or practice to help them hit grounders and pop flys with more consistency and less fatigue. To be one of the best in baseball, countless hours of practice are a must and fungo bats are intended for both infield and outfield practice. Plus, they help tremendously with control and accuracy so that coaches and parents can place a ball where they want when they want. 
First-base coach Daryl Boston has been working Palka with fungo drills. — Phil Thompson, chicagotribune.com, "Yoan Moncada has untapped power from right side, Rick Renteria says," 23 May 2018 While the Angels took infield before the Texas finale Wednesday, Ohtani stood by the cage with a bat in his hand waiting for BP near where Scioscia was hitting fungo to some infielders. — Stephen Hawkins, chicagotribune.com, "Shohei Ohtani eager for more as Angels balance work for 2-way star," 12 Apr. 2018 And dad liked to take us to Lincoln Park and hit fungos to my twin brother, Javier, and me. — John Hickey, The Mercury News, "Adam and Will Rosales proselytize for baseball," 11 Apr. 2017 Since then, his only baseball activity has been hitting one-handed fungos to teammates in ground ball practice. — Nick Groke, The Denver Post, "Colorado skipper Bud Black faces the Padres with a new perch; Rockies still scanning Desmond, Dahl and Murphy," 10 Apr. 2017
Even in those formative years, authorities on the game warned the practice of hitting fungoes should be limited to coaches. Henry Chadwick, one of baseball’s earliest proponents, claimed “The weakest batting is shown when the batsmen indulges in fungo hitting,” according to the Art of Batting. Others agreed that the practice was bad for training a batter’s reflexes: “While watching some of our freshmen practicing ‘fungo’ batting the other afternoon it occurred to me that it was about the worst kind of practice a batsman could imagine in training his eye in batting,” a writer claimed in the March 3, 1886 edition of The Sporting Life. “It trains the eye to meet the ball in batting it in a manner which never occurs in actual play. It ought to be prohibited on every well regulated ball field.”
Fungo bats typically weigh between 17 to 22 ounces and may be as long as 37 inches, making them longer than most bats used for hitting. According to Pro Bats, a typical professional baseball player uses a bat that is about 34 inches long and weighs about 32 ounces, although there is considerable variation. Fungo bats not only are longer than regular bats, they also are skinnier. Like regular bats, fungo bats can be made of metal or wood.
The bat's form has become more refined over time. In the mid-19th century, baseball batters were known to shape or whittle their own bats by hand. This allowed there to be a wide variety in shape, size, and weight. For example, there were flat bats, round bats, short bats, and fat bats. Earlier bats were known to be much heavier and larger than today's regulated ones. During the 19th century, many shapes were experimented with, as well as handle designs. Today, bats are much more uniform in design.

For starters, we should clarify just what we’re talking about when we say fungo bat. Longer, lighter and thinner than a regulation bat (but a larger barrel), a fungo bat is typically 35 to 37 inches long, and weighs between 17 and 22 ounces. As David Allison wrote in the June 1978 edition of Country Journal, “A fungo bat looks to be a cross between a baseball bat and a broomstick.”
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